I've enjoyed the NBA Live series since the first one I played in 2003. The series has a good mix of simulation and "gamey-ness," imo. It's main competition, NBA 2K, felt like too much like a simulation and I didn't like it very much. I've also found the Mario sports titles to be really solid, my favourite of those being Mario Strikers: Charged Football on the Wii.
I haven't played many of sports games casually but my old employer specialised in making them, so I worked on rugby and cricket games while I was there. I learnt a lot about sports games and the sports themselves in the process, which I found valuable and found some new hobbies in the process.