Yes there are lots more. New world cichlids refers to south and central american cichlids. African cichlids refers mainly 3types.lake malawai,lake tanganiyaka,and lake victorian cichlids.third is asian cichlids which refers cichlids mainly from the lagoons of India and srilanka.
Don't mix up all these cichlids in same tank,no matter how big it is. This mix-up can be a disaster.coz all these cichlids requires different environment,food habit and tank size as well. Some of these are super aggresive.some are semi aggresive and some are really peaceful. So don't even think to mix them. Hope this info help.