Didn't think the set was that bad actually (but then again I like U2 and RHCP).
But here's a list of ten songs that I don't know have ever appeared on 10@10:
"Rhythm Of My Heart", Rod Stewart
"How To Dance", Bingo Boys
"I Saw Red", Warrant
"Chasin' The Wind", Chicago
"Call It Poison", Escape Club
"Touch Me All Night Long", Cathy Dennis
"Easy Come, Easy Go", Winger
"Ride The Wind", Poison
"I'll Do For You", Father MC
"Joyride", Roxette
These were the Sureshot, songs 40-36, 34-32 and 24 on the 3/17/1991 Weekly Top 40.