- the @ Wizard of Yendor
- @ Croesus
- angry shopkeepers
- mercenaries (soldiers etc. and watchmen/captains)
- all quest nemeses
- all zombies (Z except ghoul, skeleton)
- all demons (i and &)
- trappers and lurkers (t)
- angelic beings (A)
- trolls (T)
- vampires (V)
- wraiths (W)
Note that except for shopkeepers, peaceful monsters will still follow you without any apparent motive. Sessile pets will also follow, despite being unable to move otherwise.
Monsters with the Amulet of Yendor won't follow across even if they would otherwise, and fleeing monsters will not follow, unless you're carrying the Amulet. (Monsters you scared with Elbereth will flee for a while.) Pets, angry shopkeepers, and the Wizard will follow even if they are fleeing.
Not all covetous monsters are followers. In particular, liches won't follow you down stairs.