I only remember Bullard with Calgary in 1987-88, when he scored 48 goals and 103 points. Not surprisingly, almost half of his points came on the Flames' lethal PP, when he'd be up front with Nieuwendyk, and with MacInnis and Suter firing bombs from the point. But then he was weirdly useless in the playoffs, with 0 goals in six games before being speared by McSorley, which in retrospect ended his prime.
He had scored 51 goals on the dreadful Pens team the season before Lemieux was drafted.
I remember that he went to Philly during 1988-89 and 1989-90, when that club was starting to decline. 113 points in 124 games for them, so not too bad.
I have no memory at all of him being with Toronto in 1991-92.
Does seem a bit odd that he retired (from the NHL) then. (For reference, he's slightly younger than Gretzky / Messier.) Did he marry a Swiss or German woman or something? Looks like 11 or 12 years of playing in that region.