Man, where to start? I'll try to write a list of some games I've loved over the years.
Dead Space 1-3
Splinter Cell: Blacklist
The Last of Us
Uncharted 1-3
Resistance 1-3
Killzone 2 and 3
God of War III
I was more of an Xbox 360 collector, but I have a lot of PS3 games as well. You should really enjoy your purchase, it's a great console. It's also an excellent multimedia device, it pretty much does everything.