If your looking for MMO's , then here is a game list.
Free MMORPG Gamelist - MMORPG.com
Just do a bit of google research before you play if your worried about it. I would say a good 90% of the game here are safe. The rest are just failed companies and such.
As for game suggestions, I have been playing SWTOR myself recently. Also a fan of Megaten, 9Dragons, Secret world, and Anarchy Online. Those are the games that have impressed me in the past few years. Although I think the company of 9Dragons went under. Shiaya was cool too, but too... much like everything else out there imo.
If you like that kind of stuff, (Which is okay! I play them sometimes too xDD) Then I would suggest Dragon Nest, Rohan and Flyff.
Although if you playing on a laptop or old computer, you may not be able to run Rohan or Secret world.
Have fun gaming!