Finish Him

Play the winning moves

easy..

Hey these are usually based on wins I missed in real games

They can't be easy!

22...Bxg5 fails to 23. Qxg5+ Kh7 24. Qh5#.

And 22...Qf5 fails to 23. Qh4+ Kg6 24. Nf3+ Qg5 25. Qxg5#.  Nice.

Black's best try would seem to be 22...g6 because it sets a small trap.  At first glance, 23. Nxf7+ looks like it might break down the defenses, but after the simple 23...Kg7 doh!  Black's King slips through f8 to safety.  An inaccurate or time-pressed White player might slip up here, which is why I think it's Black's best (only real) chance to get out of that desperate position. 

But it's okay, because the suggested move 23. Qh4+! Kg7 24. Qh7+ Kf8 25. Qxf7# does the trick.  Poor Black.  Turns out f8 wasn't out of White's range.

 I think you missed

22...Qf5 23 Qh4 Kg6 24 Qh7 mate

generally good analysis though thanks