There are thre possible answers to your question, depending on its exact interpretation!
1) If, you mean strictly "starring alongside" i.e. billed as leading lady opposite Bogart
 as leading man, then the answer is Lauren Bacall
2) However, Bette Davis _made_ more films _with_ Bogart - eight in all, though some might
 not count the last, made in 1988, called, "Going Hollywood: The War Years" 
 [since Bogart was dead by then].
3) Yet another "however", though - Ann Sheridan (aka Clara Lou Sheridan! :-) ALSO took part 
 in eight of Bogart's films, though her role in "Treasure of the Sierra Madre" was an unbilled cameo.