What are the names of some other solar systems?
Please see below.
If you mean worlds beyond our solar system i.e. a star with planet, which may appear habitable, rocky and a temperature, where we can also have oceans, one such a planet is orbiting Proxima Centauri, which is about
Kepler Space Telescope has also discovered many such planets and number of such known planets is expected to be of the order of a few thousand. But if you mean multiplanetary systems, they are a few hundred.
You can find a list of such planets here.