diff --git a/sqlparse/engine/grouping.py b/sqlparse/engine/grouping.py
index 9190797a..886682bf 100644
--- a/sqlparse/engine/grouping.py
+++ b/sqlparse/engine/grouping.py
@@ -77,7 +77,7 @@ def group_typecasts(tlist):
     def match(token):
         return token.match(T.Punctuation, '::')
 
-    def valid(token):
+    def valid(token, idx):
         return token is not None
 
     def post(tlist, pidx, tidx, nidx):
@@ -91,10 +91,10 @@ def group_tzcasts(tlist):
     def match(token):
         return token.ttype == T.Keyword.TZCast
 
-    def valid_prev(token):
+    def valid_prev(token, idx):
         return token is not None
 
-    def valid_next(token):
+    def valid_next(token, idx):
         return token is not None and (
             token.is_whitespace
             or token.match(T.Keyword, 'AS')
@@ -119,13 +119,13 @@ def match(token):
     def match_to_extend(token):
         return isinstance(token, sql.TypedLiteral)
 
-    def valid_prev(token):
+    def valid_prev(token, idx):
         return token is not None
 
-    def valid_next(token):
+    def valid_next(token, idx):
         return token is not None and token.match(*sql.TypedLiteral.M_CLOSE)
 
-    def valid_final(token):
+    def valid_final(token, idx):
         return token is not None and token.match(*sql.TypedLiteral.M_EXTEND)
 
     def post(tlist, pidx, tidx, nidx):
@@ -146,12 +146,12 @@ def match(token):
                 return True
         return False
 
-    def valid_prev(token):
+    def valid_prev(token, idx):
         sqlcls = sql.SquareBrackets, sql.Identifier
         ttypes = T.Name, T.String.Symbol
         return imt(token, i=sqlcls, t=ttypes)
 
-    def valid_next(token):
+    def valid_next(token, idx):
         # issue261, allow invalid next token
         return True
 
@@ -171,10 +171,10 @@ def group_as(tlist):
     def match(token):
         return token.is_keyword and token.normalized == 'AS'
 
-    def valid_prev(token):
+    def valid_prev(token, idx):
         return token.normalized == 'NULL' or not token.is_keyword
 
-    def valid_next(token):
+    def valid_next(token, idx):
         ttypes = T.DML, T.DDL, T.CTE
         return not imt(token, t=ttypes) and token is not None
 
@@ -188,7 +188,7 @@ def group_assignment(tlist):
     def match(token):
         return token.match(T.Assignment, ':=')
 
-    def valid(token):
+    def valid(token, idx):
         return token is not None and token.ttype not in (T.Keyword,)
 
     def post(tlist, pidx, tidx, nidx):
@@ -207,9 +207,9 @@ def group_comparison(tlist):
     ttypes = T_NUMERICAL + T_STRING + T_NAME
 
     def match(token):
-        return token.ttype == T.Operator.Comparison
+        return imt(token, t=(T.Operator.Comparison), m=(T.Keyword, 'LIKE'))
 
-    def valid(token):
+    def valid(token, idx):
         if imt(token, t=ttypes, i=sqlcls):
             return True
         elif token and token.is_keyword and token.normalized == 'NULL':
@@ -220,7 +220,22 @@ def valid(token):
     def post(tlist, pidx, tidx, nidx):
         return pidx, nidx
 
-    valid_prev = valid_next = valid
+    def valid_next(token, idx):
+        return valid(token, idx)
+
+    def valid_prev(token, idx):
+        # https://dev.mysql.com/doc/refman/8.0/en/create-table-like.html
+        # LIKE is usually a comparator, except when used in
+        # `CREATE TABLE x LIKE y` statements, Check if we are
+        # constructing a table - otherwise assume it is indeed a comparator
+        two_tokens_back_idx = idx - 3
+        if two_tokens_back_idx >= 0:
+            _, two_tokens_back = tlist.token_next(two_tokens_back_idx)
+            if imt(two_tokens_back, m=(T.Keyword, 'TABLE')):
+                return False
+
+        return valid(token, idx)
+
     _group(tlist, sql.Comparison, match,
            valid_prev, valid_next, post, extend=False)
 
@@ -242,10 +257,10 @@ def group_arrays(tlist):
     def match(token):
         return isinstance(token, sql.SquareBrackets)
 
-    def valid_prev(token):
+    def valid_prev(token, idx):
         return imt(token, i=sqlcls, t=ttypes)
 
-    def valid_next(token):
+    def valid_next(token, idx):
         return True
 
     def post(tlist, pidx, tidx, nidx):
@@ -263,7 +278,7 @@ def group_operator(tlist):
     def match(token):
         return imt(token, t=(T.Operator, T.Wildcard))
 
-    def valid(token):
+    def valid(token, idx):
         return imt(token, i=sqlcls, t=ttypes) \
             or (token and token.match(
                 T.Keyword,
@@ -288,7 +303,7 @@ def group_identifier_list(tlist):
     def match(token):
         return token.match(T.Punctuation, ',')
 
-    def valid(token):
+    def valid(token, idx):
         return imt(token, i=sqlcls, m=m_role, t=ttypes)
 
     def post(tlist, pidx, tidx, nidx):
@@ -436,8 +451,8 @@ def group(stmt):
 
 
 def _group(tlist, cls, match,
-           valid_prev=lambda t: True,
-           valid_next=lambda t: True,
+           valid_prev=lambda t, idx: True,
+           valid_next=lambda t, idx: True,
            post=None,
            extend=True,
            recurse=True
@@ -459,7 +474,7 @@ def _group(tlist, cls, match,
 
         if match(token):
             nidx, next_ = tlist.token_next(tidx)
-            if prev_ and valid_prev(prev_) and valid_next(next_):
+            if prev_ and valid_prev(prev_, pidx) and valid_next(next_, nidx):
                 from_idx, to_idx = post(tlist, pidx, tidx, nidx)
                 grp = tlist.group_tokens(cls, from_idx, to_idx, extend=extend)
 
diff --git a/sqlparse/keywords.py b/sqlparse/keywords.py
index 3b963557..d42cd6db 100644
--- a/sqlparse/keywords.py
+++ b/sqlparse/keywords.py
@@ -84,7 +84,8 @@
      r'(EXPLODE|INLINE|PARSE_URL_TUPLE|POSEXPLODE|STACK)\b',
      tokens.Keyword),
     (r"(AT|WITH')\s+TIME\s+ZONE\s+'[^']+'", tokens.Keyword.TZCast),
-    (r'(NOT\s+)?(LIKE|ILIKE|RLIKE)\b', tokens.Operator.Comparison),
+    (r'(NOT\s+)(LIKE|ILIKE|RLIKE)\b', tokens.Operator.Comparison),
+    (r'(ILIKE|RLIKE)\b', tokens.Operator.Comparison),
     (r'(NOT\s+)?(REGEXP)\b', tokens.Operator.Comparison),
     # Check for keywords, also returns tokens.Name if regex matches
     # but the match isn't a keyword.
diff --git a/tests/test_grouping.py b/tests/test_grouping.py
index e90243b5..5e71dca5 100644
--- a/tests/test_grouping.py
+++ b/tests/test_grouping.py
@@ -498,7 +498,10 @@ def test_comparison_with_strings(operator):
     assert p.tokens[0].right.ttype == T.String.Single
 
 
-def test_like_and_ilike_comparison():
+@pytest.mark.parametrize('operator', (
+    'LIKE', 'NOT LIKE', 'ILIKE', 'NOT ILIKE',  'RLIKE', 'NOT RLIKE'
+))
+def test_like_and_ilike_comparison(operator):
     def validate_where_clause(where_clause, expected_tokens):
         assert len(where_clause.tokens) == len(expected_tokens)
         for where_token, expected_token in zip(where_clause, expected_tokens):
@@ -513,22 +516,22 @@ def validate_where_clause(where_clause, expected_tokens):
                 assert (isinstance(where_token, expected_ttype)
                         and re.match(expected_value, where_token.value))
 
-    [p1] = sqlparse.parse("select * from mytable where mytable.mycolumn LIKE 'expr%' limit 5;")
+    [p1] = sqlparse.parse(f"select * from mytable where mytable.mycolumn {operator} 'expr%' limit 5;")
     [p1_where] = [token for token in p1 if isinstance(token, sql.Where)]
     validate_where_clause(p1_where, [
         (T.Keyword, "where"),
         (T.Whitespace, None),
-        (sql.Comparison, r"mytable.mycolumn LIKE.*"),
+        (sql.Comparison, f"mytable.mycolumn {operator}.*"),
         (T.Whitespace, None),
     ])
 
     [p2] = sqlparse.parse(
-        "select * from mytable where mycolumn NOT ILIKE '-expr' group by othercolumn;")
+        f"select * from mytable where mycolumn {operator} '-expr' group by othercolumn;")
     [p2_where] = [token for token in p2 if isinstance(token, sql.Where)]
     validate_where_clause(p2_where, [
         (T.Keyword, "where"),
         (T.Whitespace, None),
-        (sql.Comparison, r"mycolumn NOT ILIKE.*"),
+        (sql.Comparison, f"mycolumn {operator}.*"),
         (T.Whitespace, None),
     ])
 
diff --git a/tests/test_regressions.py b/tests/test_regressions.py
index 29cb502c..ddfc31af 100644
--- a/tests/test_regressions.py
+++ b/tests/test_regressions.py
@@ -449,4 +449,19 @@ def test_copy_issue672():
 def test_primary_key_issue740():
     p = sqlparse.parse('PRIMARY KEY')[0]
     assert len(p.tokens) == 1
-    assert p.tokens[0].ttype == T.Keyword
\ No newline at end of file
+    assert p.tokens[0].ttype == T.Keyword
+
+
+def test_like_grouping_issue543():
+    tokens = sqlparse.parse('create table tab1.b like tab2')[0].tokens
+    assert [(t.ttype, t.value) for t in tokens if t.ttype != T.Whitespace] == \
+        [
+         (T.DDL, 'create'),
+         (T.Keyword, 'table'),
+         (None, 'tab1.b'),
+         (T.Keyword, 'like'),
+         (None, 'tab2')
+        ]
+
+    comparison = sqlparse.parse('a LIKE "b"')[0].tokens[0]
+    assert isinstance(comparison, sql.Comparison)
diff --git a/tests/test_tokenize.py b/tests/test_tokenize.py
index af0ba163..ce1b4af0 100644
--- a/tests/test_tokenize.py
+++ b/tests/test_tokenize.py
@@ -209,10 +209,10 @@ def test_parse_window_as():
 
 
 @pytest.mark.parametrize('s', (
-    "LIKE", "ILIKE", "NOT LIKE", "NOT ILIKE",
+    "ILIKE", "NOT LIKE", "NOT ILIKE",
     "NOT   LIKE", "NOT    ILIKE",
 ))
-def test_like_and_ilike_parsed_as_comparisons(s):
+def test_likeish_but_not_like_parsed_as_comparisons(s):
     p = sqlparse.parse(s)[0]
     assert len(p.tokens) == 1
     assert p.tokens[0].ttype == T.Operator.Comparison