There's no reason why you can't have both. There are many cichlids which can be mixed with non-cichlid tropical fish. I find that they tend to be more interactive than other fish, so it's always fun to keep them. And the array of colours and shapes they come in means there's bound to be one you'll like. The downside is their aggression (particularly when breeding), and their uncanny ability to destroy your plants. But, if you do your research before buying them, then the majority of problems can be avoided. Like DrRob said, you can save yourself a lot of trouble if you find out your water parameters beforehand, then select fish based in that.
So do you have any particular fish in mind?