There are a lot of cloud continuous integration services. All of them have different set of functionality, some of them require payment, some of them are free. I have created a list of such services to make easy comparison of them and choose more suitable for you.
Some of CI services has open source code thus you can setup them in standalone mode. Pay attention to the column "Features".
There is a similar comparison on Wikipedia.
To the extent possible under law, Sergey Bronnikov has waived all copyright and related or neighboring rights to this work.