Thank you for your constructive criticism. The next game features an unsound sacrifice that ends up winning very nicely.

I'll just correct some of your annotations as I go.  Most of them were pretty good

6. Bd3- This move is not really aimed at attacking the g6 square; it is mainly devised for pressuring the h7 point and to get things going on the kingside with an eventual sacrifice on h7.

9. exf6- Not all other moves lose.  Nf4 is a good alternative which leads to a draw in modern theory.  This result is usually not acceptable for White, so he plays exf6

9. Nxf6- Qxf6 is actually a decent alternative.  The idea is to play for a quick e5.  This would activate Black's forces.

15. Rhe1- Tal does care, but doesn't see a useful discovery from the knight.  Therefore he attacks the e6 pawn.

31. h4- While I can't see the reason for this move, at least try to find the rationale behind it.  Tal likely had some reason to play it over other alternatives.

37. Ka5- This move has merits.  It gets the king out of the way for the b pawn and puts it in a place that is safe from immediate checks.

38. Ra3+- Black wants to force White to impede his pawn with the king before he undergoes any other matters.

Overall, I thought you did an excellent job annotating this game.  You got lazy on some matters and didn't elaborate on others, but overall, it was a great effort.  I hope you learned something while doing it.  Next game, rather than a boring rook ending, look up a Tal special: a middlegame crush!