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For me, I found Skyrim easy to start with. If you like fantasy. I've been mostly handhelds and nothing terribly exciting in the combat for over 10 years, so I wasn't used to live action combat and I was nervous about playing the PS3. Which means you, your companions, and what you're fighting don't take turns like most RPGs of the past. You just fight as you would if the battle was for real. RPG meaning role-playing game, referring to the games where the characters have levels. The good thing about Skyrim is the game levels itself with you and you have total freedom in when and if you want to do its quests. You won't find yourself exploring and being totally out-powered. Unless you go deep into ice dungeons and find Chorus. I found those a pain in early levels. The combat is also easy, goes between first and third person view as you like, and you have no need to build your character carefully. Each race has it's own advantages, like Khajiit are good sneakers and have an ability to see in the dark.
Syrim is also a really, really long game if you're trying to do everything.
And a little advice if you get Skyrim...If you want to try being a Vampire or Werewolf, get the Dawnguard DLC. For Vampires, the more days you go without feeding, the more likely people are to randomly attack you. And you can kill the NPCs, making it difficult to do their related quests or closing their shops. With Dawnguard, it doesn't matter if you never feed, people won't attack you unless you go Vampire Lord in front of them.

A lot of games have difficulty settings, so you should be fine in whatever you decide to try. And they autosave often, so if you die, you won't need to start from like a hour or so ago.

For other suggestions, the Lego games are great for something more relaxing, but also challenging.
Red Dead Redemption is also really fun. You are going to die a lot, though. Usually from the environment and random events on the side of the road if you're not used to what to do in each one. I was warned about this before I started playing.
If you want something silly and slow in a household setting, Sims 3. It's very relaxing.
Bioshock also has a really good story if you think you can handle it. For someone also not used to console games, I found it took some getting used to. One of my friends finds it too creepy to play.
If you want to play an animal trying to survive in a post-apocalyptic Japanese city with lots of pollution, Tokyo Jungle. You'd need to buy it off the PSN store. I had many weeks of enjoyment with that. It's not very hard to play. You will die a lot in that one, too. My favorite death is when I got too cocky as a Pom and bit a Tiger's butt.

Going from PS3 to PS2 or PS1 can also hurt your eyes. They do mine, anyway. But I passed on a lot of great titles, so what's a little eye torture for fun? My PS2 needs some lovin~

If I may add on, some more great horror survival is Fatal Frame. The first three come for PS2 and should be in the PSN store. The camera, however, takes some getting used to if you play others, first.
Sims 2 Castaway also gave me and my brother many days of enjoyment.