I don't know much about sports games, but Playstation all-stars has a rather glitchy online and it takes quite a while to find opponents. It's also important to note that while there are a lot of good ideas and movesets in PASBR, it ultimately comes together as a very sloppy game. I hope they make a sequel and refine things, because I think there's a decent foundation for something good.
Definitely All Stars. I just think sports games are kinda... lame. They can be fun but I'd rather go outside and actually play. Besides All Stars is loads of fun.
2k13 has a good online community but the quality of play isn't great while online. I enjoy playing against the pc on 2k13 though, and it's a great sports sim.
They're so different, so I don't know what to tell you. I have not played 2K13, but I have All-Stars and it is okay. Pretty nice if you have a PS3 and Vita because of the whole cross-buy deal.
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