Definitely watch the rest of the Stargate movies and then get into Atlantis. The Stargate series is very much Star Trek but with a more grounded premise. Yeah there are aliens out there, but the majority of the powers are not interested in getting along with these plucky Earthlings.
Also seconding the SyFy shows, especially Eureka and Dark Matter. Eureka is much more comedic and optimistic than the usual science fiction show. About 5 seasons and was given the chance to end properly. Dark Matter is, well, dark. Opposite of the Star Trek universe, but has great character arcs and plot lines. Absolutely worth watching the 3(?) seasons even if it ends on a cliff hangar.