Barely get 60 FPS on Minecraft but can easily get about 55-60 FPS with ultra everything on BF4?

So, yeah. I can barely get 60 FPS on Minecraft but can easily get about 55-60 FPS with everything on ultra in BF4. My old computer could kept a steady 200 FPS on Minecraft, but I never played BF4 on it, but it could run it just fine. Does anyone know why?

Added (1). Well, with barely 60 fps, I sometimes get lag in places with 60 because it'll drop below 50 sometimes and will lag. But with 200 fps, it NEVER lagged for me, just FPS drop, which I never noticed.

Minecraft relies heavily on memory and the java platform. But I don'tt see why you care about FPS in a game, higher isn't always better plus the eye/brain doesn't process much after 30-60 fps. The graphics settings could be maxed out or the recent releases of Minecraft might not be optimized to their full potential.