Is this still the case? I haven't played an Xbox One online, just in local multiplayer/hotseat type games so I'm not sure what it does or doesn't do over the 360
The PS4 lets other people play your games via streaming, lets you play your own games on another system via streaming, has video chat, voice chat, a party system, messages with video and audio, friend list, compare trophies with friends, able to view real names+avatar, list of people you met in games. Even the Vita has all that except video chat (or maybe it does? it does have a camera but I've never looked for an app!).
What does the Xbox One offer over that?
Xbox one has pretty much the same feature as PS4. Actually, One has better camera thanks to Kinect. The thing is online infrastructure, sometimes psn goes under the maintenance for a while. When I was playing on PS3 or friend of mine complaint about the some sort of issues on the online. Also PS4 is fully capable to run video games 1080p 30/60 fps, Xbox One is like 900p 30/60. PS4 definitely needs to get credit for that.