...
You do say inaccurate rather than wrong.
I'll kick off with the two bishops post (#20).
I've inserted a game played against Rybka with the Nalimov tablebase. Both sides are accurate (Nalimov is accurate in these positions and it also gives mate in 15 for the initial position).
Note the comment after White's second move. Your "ideal" cage for the black king has a floorspace of 20 squares compared with 13 squares (two of which he can't use) in my variation. As a consequence, you will not be able to force mate on move 15 against Nalimov.
Queen vs Pawns
Knight or center pawns
there are some exceptions
Knight / Rook pawn
EXCEPTIONS: IF THE KING IS CLOSE TO THE PAWN, WHITE CAN MATE