I really don't have alot of experience with the different genres. I'll list things I think i like-
Action Adventure
Adventure
Simulators, like racing, combat airplanes
Some crazy sheeit like Dynasty Warriors but more refined preferably
I'm not very good at games where you have to do something like control an army and have crazy strategy
I'm looking for games that have an engaging story, replayable content/multiplayer, and just fun, graphically appealing games.
I would like a good game maybe in 3rd person where I could be a badass warrior in old times and slash people. I've tried Chivalry MEWF and my experience with it wasn't good but that was on my old rig.
So you like Simulators, Hack&Slash, action/adventure..
Don't really like strategy or RTS style games.
You like MP, 3PV, and enjoy something where you are like a warrior type class and a great story. Great stories are normally found in RPG's as well as the 'warrior' types.
I will also go with PP and suggest Dragon Age and Mass Effect.
I can't say anything on Dragon Age since I only played it for an hour on console, but Mass Effect is a 3rd person Sci-fi RPG/Adventure/Shooter...? The genre changes over the span of the franchise so I will list each one
Mass Effect 1: Sci-Fi RPG/Adventure
Mass Effect 2:Sci-Fi Action/Adventure
Mass Effect 3:Sci-Fi Action/Shooter/Adventure
One I would also suggest depending on if you like Superheroes and more specifically...Batman, Batman: Arkham Asylum and it's sequel Batman: Arkham City. It has the Beat-em Up feel with a very smooth combat. It also has a great story. It's the closest I can think of relating to Dyansty Warriors at the moment (BTW, LOVE THAT SERIES. Need to get #7 still).
Walking dead is VERY story driven... Actually it is nearly nothing BUT story. Unfortunately many are turned off by it's point & click style. But it is a DEFINITE must try for anyone who loves story driven games. It is currently on sale this weekend on steam too! All 5 Episodes for $6.75 (Reg. $24.99) for another 33 hours from this post.
If you like the Horror genre... I can recommend Dead Space 1 & 2. Haven't played 3 but heard it lost the 'horror' and went with nearly all action. Ahh well.
Dead Space 1 & 2 are a great Sci-Fi Horror 3PV shooter with a nice story.
I would also recommend Skyrim but that game isn't exactly story driven. It HAS story and a HUGE rich background full of lore and a great open world... but it's awesomeness leans more towards immersion rather than story. Create a character you wish with skills you want and do what you want in the game.
Last but not least, Dark Souls. I am not a huge fan of this game but it does have a big following. It is a 3PV Action/RPG. The levels are actually linear but open enough to provide the illusion of exploration. It is one of those games that isn't for the feint of heart (Those who rage easily). Expect to die very...VERY frequently and by almost BS reasons Such as traps, one hit kill bosses/attacks and so on.
Not much of a story to be honest (if at all) but there is a rewarding feeling knowing that you went from being a complete weakling to stomping earlier foes with ease as you level up.