Tuthrick: Ultimate Doom - Doom + 4th episode 'Thy Flesh Consumed'
Final Doom - Doom II + two mission packs/mods 'TNT: Evilution' and 'The Plutonia Experiment'
I don't think that either of these have mouselook that would let you look up and down (left and right should work). For full mouselook you would have to use one of the source ports. Personally, I've used Skulltag, but it has been discontinued as far as I know. I'm sure someone will recommend you a source port that would suit you.
TNT & The Plutonia Experiment are also fan additions that play in infinite loop. Everytime I played through those it goes back to a previous level like the military compound or beginning of their game. They were not created by iD, just given support for release. Same thing with Master Levels, which is a combination of Fan made levels with no coherency to Doom1 / Ultimate & Doom II.