gayStation doesn't really fit your needs at all - Fony Move is just shite.
Wii seems to fit your needs perfectly, but is now a dead end console with little titles being developed. A new Nintendo console due out soon, assuming Nintendo survive the massive losses they are expected to anounce. But if the existing games work for you, go for it

seXBOX 360, also due to be replaced soon, when added to the Kinect add-on, also perfectly fits your requirements. seXBOX lacks as many 'fun' titles compared to Wii, but those Kinect 'fun' games are all very good. Kinect, however, does need quite a lot of room, and even more for 2 player. A typical 'newbuild' 3 bed semi probably isn't going to have enough room, depending where your furniture is.
I personally find the seXBOX/Kinect setup more energetic than the Wii setup, as you can soon learn to fool the system with the Wii - I'm really good at the running games, whilst laying on the sofa

. Kinect is a camera based system that actually tracks you, so not found any scope for 'cheating'

Another consideration is that Wii is about £130 in UK, seXBOX/Kinect bundle is about £250 in UK (for 4Gb model).
I won't bother explaining about capabilities etc, as I guess you're not too bothered with graphics and sound capabilities, as you are looking more for the quick 'fun' type games, rather than the true 'gamer' (immerse yourself for days in other worlds, just to learn how to play) type games.