I started up the PS4 version last night. It definitely looks better than the PS3 version but it's still nothing impressive. I was super disappointed to find out that the two versions SHARE a trophy list. Booooooooooooooooooooooo. It's hard to complain considering I got both versions for the price of one, but I was pretty surprised by that. I'm sure there are people out there that actually purchased the physical copies for last gen and current gen. It's bullshit to pay for two games and only get one trophy/cheevo list.
Also, even if you create a new character, which I did, it appears the collectibles and such still carry over. Not a big deal but I was hoping to start completely from scratch on PS4. I went with the Hunter on PS4 as opposed to the Titan on PS3.
I literally just did the first mission and went back to the citadel place and turned in everything and accepted stuff. So if anyone wants to slum it with me, let me know.