According to MS, the Series S can already do 1080p/60fps, even 1440p/60fps.
The PS3 can do 1080p/60fps, the Switch can do 1080p/60fps but Breath of the Wild runs at 900p 30fps and plenty run at 720p 30fps.
What a system can do is all relative to the demands of the game. Just as we've seen this generation, most single player games are designed around 30fps and maximum visual fidelity. This is unlikely to change. Internally Microsoft teams may target 60fps but we know thats not the case for a lot of 3rd parties.