1) Nunn's ChessBase puzzle 7: Construct a legal game that ends with (the black move) 5...Rh1 mate. Note that the last move is not a capture: 1.g4 h5 2.Bg2 hxg4 3.Bxb7! Rxh2! 4.Nh3! Bxb7 5.0–0 Rh1 mate.
2) Construct a legal game that opens 1.e4 and ends with (the black move) 5...NxR (knight takes rook) mate: 1.e4 Nf6 2.f3 Nxe4 3.Qe2 Ng3 4.Qxe7+! Qxe7+ 5.Kf2 Nxh1 mate.
3) Construct a legal game that ends with this position after EXACTLY four moves (that is eight half moves, four by White and four by Black): 1.e4 e6 2.Bb5 Ke7! 3.Bxd7! (Dia.)
3...c6 4.Be8! Kxe8.