Look what I found!
July 14, 1989 top 10 recap
And here's the list for posterity:
1) (~7-8) (+1) Madonna - "Express Yourself" (1 week at #1)
2) (~4-5) (+1) Bon Jovi - "Lay Your Hands On Me"
3) (?) (-2) Fine Young Cannibals - "Good Thing" (2 weeks at #1)
4) (3) (+4) Martika - "Toy Soldiers" (#4)
5) (?) (+1) Love and Rockets - "So Alive" (#5)
6) (~3) (+4) Prince - "Batdance" (#6)
7) (?) (+7) Simply Red - "If You Don't Know Me By Now" (#7)
8) (?) (+3) Bobby Brown - "On Our Own" (#8)
9) (?) (-5) The Doobie Brothers - "The Doctor" (#3)
10) (?) (+3) Rod Stewart - "Crazy About Her" (#10)
According to Adam Curry, both Madonna and Bon Jovi were up to 6 #1's as of this week.