Here are some 'back rank mate' chess puzzles rated by lichess.
The color disk on the diagram indicates who moves first.
Solutions are between the brackets under each puzzle.
Drag your cursor from one bracket to the other.

White mates in 3. Puzzle #JxR8M (1792)
7k/pp1r1ppp/4p3/2P1Q3/3r4/P6P/1q3PP1/3R1RK1 w - - 2 25
[ 25. Qb8+ Rd8 26. Qxd8+ Rxd8 27. Rxd8# ]

Black mates in 4. Puzzle #r9mw6 (1804)
2r1k2N/pp1b2pp/8/4p3/1Q1P4/4PN2/PPq2P1P/KR6 b - - 1 22
[ 22... Qxb1+ 23. Kxb1 Bf5+ 24. e4 Bxe4+ 25. Ka1 Rc1# ]

White mates in 4. Puzzle #1eXpK (1812)
5rk1/b4ppp/p2Q1n2/Pp3q2/1pr5/2P4P/4R1PB/4R2K w - - 0 33
[ 33. Qxf8+ Kxf8 34. Bd6+ Kg8 35. Re8+ Nxe8 36. Rxe8# ]

Black mates in 3. Puzzle #HST2U (1844)
3r2k1/pp3pp1/3r3p/8/1P2Q3/P3P3/1q2NPRP/2R1K3 b - - 0 31
[ 31... Qd2+ 32. Kf1 Qd1+ 33. Rxd1 Rxd1# ]

White mates in 5. Puzzle #gPcwS (1861)
5rk1/2R1Qppp/p7/1b1n1B2/8/6qP/PP3NP1/6K1 w - - 5 29
[ 29. Qxf7+ Rxf7 30. Rc8+ Be8 31. Rxe8+ Rf8 32. Be6+ Kh8 33. Rxf8# ]

Black mates in 4. Puzzle #pIlFv (1938)
1Qb2rk1/p3b1pp/1p6/3p2N1/4P3/8/PP3qPP/RNB3RK b - - 2 21
[ 21... Qxg1+ 22. Kxg1 Bc5+ 23. Be3 Bxe3+ 24. Kh1 Rf1# ]

White mates in 3. Puzzle #3ql2p (1954)
r1k4r/ppp2Rpp/2p5/8/2P1Q3/4b3/PPK1P3/RN4q1 w - - 3 18
[ 18. Qf5+ Kb8 19. Rf8+ Rxf8 20. Qxf8# ]

Black mates in 3. Puzzle #TbusM (1997)
2r2rk1/p3Q2p/np2p1p1/4Bq2/3P4/4P3/P4PPP/2R2RK1 b - - 4 25
[ 25... Qxf2+ 26. Kh1 Qxf1+ 27. Rxf1 Rxf1# ]

White mates in 4. Puzzle #yRdwy (2037)
2r5/pp3kpp/3Q4/5p2/1P6/q1rP1P2/1R3P1P/1K2R3 w - - 7 29
[ 29. Re7+ Kg8 30. Qe6+ Kh8 31. Re8+ Rxe8 32. Qxe8# ]

Black mates in 4. Puzzle #Kr1qG (2140)
k4r2/Pp3r2/3nN2p/1Nbpq1p1/6Q1/2P1P3/1P4PP/R3R1K1 b - - 4 29
[ 29... Qxe3+ 30. Rxe3 Bxe3+ 31. Kh1 Rf1+ 32. Rxf1 Rxf1# ]
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