Well, for the first part, any half-way decent time or cosmic character.
For the others, the 'detective' category is where I feel he has more superiors. Wesley Dodds, Ralph Dibney, and Vic Sage are all better in my eyes, and Detective Chimp and Pre-Flashpoint Tim (As Red Robin) I see as just as good. As for the 'strategist' category, his only clear superiors that I see are Lex Luthor and, counting the ENTIRE DCU, Braniac 5. There are others though that we know are as smart or smarter than Bruce though who we just haven't seen as strategists that much , such as Ted Kord and Michael Holt.