Forza 5 is pretty. But I wasn't thrilled with the gameplay when I tried it recently. That alone made me decide to skip the title, with the micro transaction issue so many people lament being extra fuel on that fire. I own Need For Speed Rivals and that seems more up your alley since it has the open world you mentioned Forza was missing. Forza 5 - 5/10. NFS Rivals 8/10
Ryse is also very pretty. It started as a Kinect only game and was then changed to be a 3rd person action title and it shows in the gameplay. It lacks variety and is fairly linear. That being said, I think it is a lot of fun. It actually has more nuance than most reviewers have given it credit for. It reminds me of the first Assassin's Creed in that it has a lot of unexplored potential that was seemingly either overlooked or ignored to rush it out the door. But it is fun, especially on the higher difficulty. Ryse 7/10
I just picked up Battlefield (was waiting for the mess to be sorted out) and have been enjoying it, but havent played too much. I looks great, controls well, and as others have said, seems to be working as long as you don't try to play a random quick match. Battlefield 4 8/10
You can put icing on a turd, but that doesn't make it a cupcake!
I was the first to post on here talking about my unopened Ryse game and I just have to say you all have convinced me to open it sooner rather then later. That being said I still believe you should go with Battlefield. I agree with the fellow who said you sound like more of a Need for Speed kind of dude rather then Forza.
That being said, Battlefield has server issues but they are not game breaking. We have no idea when they well be fixed, but it will be soon. Dice has already released a handful of patches since release and if you're optimistic at all then that can mean that they've seen the concerns, they haven't forgotten about us, and are working around the clock till these issues are fixed.
Join us on the Battlefield and experience what these Battlefield Moments are all about first hand. If you go with Ryse I won't be disappointed. Sounds intriguing.