Not exactly a tar-pit unit...but if you ever get the chance. Charge the Avatar with a Lord of Change, I've done that twice against two different players and the one started on turn 2 and ended on turn 7, the other one started on turn 4 and didn't finish in the 6 turn game.
Or...20 man plaguebearer you charge something WITH 9 nurglings...the opponent gets an all hope is lost kind of thing.
Whenever I play against marines with a dreadnaught I always surround it with nurglings because its funny. He can shoot because he covered in little fungus things hehe.
In short, if you want to make an army of just frustrating to kill:
Lord of Change and Great Unclean one
Nurglings and Plaguebearers
Soulgrinders
Those are my favorite pits