I liked most of the new designs, although some episodes of JL seemed poorer in execution (the Metamorpho and Justice Guild eps come to mind). I like this Cheetah, but I'd rather have her be archaelogist Barbara Minerva, and have long hair (I never liked the Superfriends' Cheetah).
Quick re-cap of Cyborg's look:
For a time, Victor Stone merged with a technological planet called Technis, and attempted to assimilate the Earth. The Titans managed to restore Vic's sanity by downloading him (through Raven's soul self) into the T-1000ish armor one of the newer Teen Titans. After this, Cyborg looked like a golden version of his non-cyborg body (a la Kingdom Come). He has limited morphing capabilities and can mentally control machines.
After that, Nightwing worked with the russian lab that rebuilt Cyborg some years ago to clone Vic's original body. By using Cyborg's new morphing powers, they managed to place Cyborg inside his organic body. Now he looks entirely human, but can make his metallic interior ooze through his skin to form cyborg parts. In recent Flash comics, he would use this power to turn himself into a golden version of his original Cyborg look (with the headband and all) whenever he had to fight, claiming he was most at ease with that form.
In the current Titans series, Cyborg hasn't been seen yet, only heard.