UPDATE: PGN file attached [PGN]
All of these mates are worth knowing, although you may only pull off Reti's mate once in your life. But the threat to carry out Reti's mate may come up every year.
White is to move unless indicated otherwise.
30
31 Arab mate
32
33
34
35 Damiano's mate
36
37
38
39 Philidor's legacy
40
41
42 Greco's mate
43
44 Morphy's mate
45 Morphy's concealed mate
46
47 Anastasia's mate
48
49 'blind swine'
50 epaulette mate
51 swallow's tail
52
53
54 as Rotlewi-Rubinstein
55 Boden's mate
56 Pillsbury's mate
57 Legal's mate
58 Max Lange's mate
59 Reti's mate
60 Blackburne's mate
Solutions and notes
#301 Bg6+ Kg8, 2 Qh7+ Kf8, 3 Qf7 mate
1 Bf5+ Kg8, 2 Be6 mate
1 Nf6+ Kh8, 2 Rh7 mate
cannot be forced in this situation
but worth looking out for in a castled King's-side position, because the Knights cover so many squares
Oh, how many times have we overlooked this...
1...Kh7, 2 Qh4+ Kg8, 3 Qh6 and 4 Qg7 mate
1 Rh8+ Kxh8, 2 Rh1+ Kg8, 3 Rh8+ Kxh8, 4 Qh1+ Kg8, 5 Qh7 mate
1 Qh5 Be7, 2 Qh7+ Kf8, 3 Qh8 mate
1...f5 2 Qh7 mate
1...Re8 2 Qh8 mate
1...g6! 2 Qh6!
1 Nf7+ Kg8 2 Nh6+ Kh8 3 Qg8+ Rxg8 4 Nf7 mate
1...Rb8, 2 Qxf7+ Kh8, 3 Ne6 Rg8, 4 Qh5 mate
1 Nf6+ Kh8, 2 Nh5+ f6 escapes
1 ... Kg2, 2 Ne8++ Kh6, 3 Qf4+ g5, 4 Qf6+ Kh5, 5 Ng7+ and White needs only a Pawn on g2/h2 to force mate
1...h6 2 Bxf7+ Kh8 3 Qg6! hxg5 4 Qh5 mate
1...Rf8, 2 Rg5+ Kf8, 3 Rg7!
1 Qxf6 gxf6, 2 Rg1+ Kh8 3 Bxf6 mate
1 Rxg7+ Kh8, 2 Rxf7+! Kg8, 3 Rg7+ Kh8, 4 Rg1+ Rf6, 5 Bxf6 mate
1 Rd8+ Kf7, 2 Rf8 mate
1 Ne7+ Kh8, 2 Rxh7+
1 Qg5 Kh8, 2 Qh6 Rg8, 3 Qxh7+
1...Rfd8, and White has only perpetual
the Rooks 'grunt out check' but cannot get sight of mate (Janowski)
1 g6 Bg8, 2 g7 mate
1 Nxf7+ or 1 Ng6+ mates
1 Be6 d4, 2 Bh2 and 3 Be5 mate
Macdonnell-Boden 1869
1...Qxc3+ 2 bxc3 Ba3 mate
1 Rxg7+ Kh8, 2 Rg8+ Kxg8, 3 Rg1 mate
(compare Morphy's mate)
1 e4 e5, 2 Nf3 d6, 3 Bc4 Bg4, 4 Nc3 g6
5 Nxe5! Bxd1? 6 Bxf7+ Ke7, 7 Nd5 mate
10...Bc5+ 11 Kh1 Ng3+ 12 hxg3 Qg5, 13 Rf5 h5! since 14 Rxd8 hxg4 mate
9 Qd8+ Kxd8, 10 Bg5++ Kc7, 11 Bd8 mate
1 Qh1 h5, 2 Qxh5! gxh5, 3 Bh7 mate