The new Battlefields are great, but older ones are still holding up. As The Self Appointed Ambassador of Battlefield to the country of Steemit, I have to urge you to try Bad Company series (at least the top notch singleplayer). I won't convince anyone to go and play the even older BFs like BF2, 1942 or 2142 because I know they're old and this makes multiplayer only experiences quite hard to handle.
(shameless plug) If you are a fan you can check out my blog maybe? I'm doing a series on Bad Company now, I share Battlefield news and I hope to write more about BF and BF4 soon. (/shameless plug ;P)