Name one thing AB3D2 can do better or even as good as Doom.

Here's a few for starters, none of which the
standard DooM engine was ever capable of:
Player jump and crouch
Look up/down
Vertically overlapping zones for split levels, bridges etc.
Realtime Gouraud shaded zone lighting with multiple light sources
Textured and Gouraud shaded polygon models for weapons, various pickups and some enemies
Lightsourced sprites via bumpmapping for almost all other enemies
Additive and alpha blended transparency effects for explosions and water
Refraction effects for water
Dithering
Examples of some of these effects below:
http://www.amiga.org/gallery/images/810/1_montage1_256.pnghttp://www.amiga.org/gallery/images/810/1_montage2_256.pngWhat AB3D2 lacked was polish and had some unfortunate limitations imposed on the finished product.