I just got off work where I was greatly enjoying listening to this episode and thought I would shout out my top games from last generation (There are still upcoming games that may change this list, particularly Persona 5). I am not saying that all these titles will be Triple-A quality, but they were the ones that gave me the most enjoyment.
10) Nier - this was a Square Enix release that kinda went by without many waves, it got reviews in the mid-range, but I really enjoyed it. The camera work was interesting, its flow from top-view dungeon crawler, side-scroller and JRPG with a Kingdom Hearts style battle mechanic was very interesting. I think Square Enix experimented a lot with integrating different types of gameplay into one game. This is a game on a budget as the story has you repeatedly going between only a handful of locations and deals with a lot of themes that really speak to my squishy side, like being a good father and the cruelty of how a world can treat it's children.
9) Sleeping Dogs - A GTA type game where you are an undercover cop trying to infiltrate a Triad. Very good characterization in this game and a lot of nuance in how the characters within the Triad are portrayed.
8) LA Noire: All the production issues aside on this title; I got to fulfill my dream of being a police detective in the 1940s without all the foul smells.
7) Tales of Xillia - Hot JRPG action for your PS3. Looking forward to more when the sequel drops in August.
6) The Ico & Shadow of the Colossus Collection HD - A remastered collection of the classic games and I had never played them before, so they make the list.
5) Xenoblade Chronicles for the Wii - An awesome JRPG. One of the Operation Rainfall titles. Your characters' appearances change with the armor equip.
4) Beyond: Two Souls - Ellen Page. Quantic Dreams. Sold.
3) Catherine - Steve already mentioned this one. This game has one of the most mature approaches to relationships I've ever seen in a console release. The puzzles were engaging and not a little creepy. I feel bad for not talking to people at the bar.

2) Heavy Rain - Again, themes that hit me all up in the feels. I know that David Cage can be a controversial figure and I think it's a fair argument that his games are more interactive cinematic experiences versus a traditional form of gameplay one might expect from a video game, but one of the things I look for in a game is a good story, and on that front, the man consistently delivers. The game play can be a bit stiff and the lip-sync is.... questionable at times, but his sense of story is spot on. Ever since I played Indigo Prophecy (Fahrenheit) on the X-Box Quantic Dream has guarenteed itself my money for every single title this release.
1) The Final Fantasy XIII Trilogy - This might be bending the rules, But I played all three games more or less back to back....mainly because I got sidetracked and had to go back to FFXIII after FFXIII-2 was already out and was waiting impatiently on my shelf. I take these games to be a single experience, because it seems to me that was Square's intent and as a unified whole, this is the story I enjoyed above all else on the PS3. I might be in that minority that loves the slow build of the first game and maybe it would have performed better if, in an ideal world, FF13 and FF13-2 were released together. Anyway, I loved the series.
Honorable Mention for DC Universe Online. I don't play it has much as I used to, but I met a lot of cool people on there, two of which I am still in regular contact with, and my two beta characters are featured in a comic series I am trying to put together.