I got Doom for PS4 a little over a week ago. I played a TON of Doom 2 (and a fair bit of Doom) when I was a teenager and I was worried that with this new release, they would have created an entirely different experience from the originals. I'm about halfway through the single player campaign now, and I love it. The weapons and enemies are so reminiscent of the originals, while being tweaked to give a pretty good balance to the game. Most important to me, though, was the experience. I remembered in the old games that little bit of fear/excitement when you were in a dark and quiet room and suddenly heard a growl from an enemy. That fear is back! The pace of the game is also true to the originals, with brief quiet/safe times followed by intense battles with several enemies and often not nearly enough ammo. They have added some new elements like Quad Damage (from Quake), Glory Kills and weapon and suit upgrades, which I felt were a bit gimmicky at first, but they've grown on me. There's also a bigger story element in the game than in the originals -- not amazing, but it adds an extra element of intrigue.
I did play Multiplayer on the open beta which I really wasn't a big fan of (it felt a lot like Unreal Tournament to me), but I haven't tried it on the actual released game, so I'll reserve judgment until later.
Load times are pretty long, but you kind of need a rest sometimes anyway, so that's not so bad haha.
Single Player I'd have to give 10/10 as I just can't give any justification to rate it lower. Favourite game I've played in ages.