Yes, my diagram says that black is on move but when I open the FEN/PGN it gives white on move Also, the owner of the puzzle added that information in #7, WTP=White to play" and also gives the e.p. answer in #8. Due to the contradictory information between FEN and diagram display you can't be sure of the board orientation either. Does white play bottom to top or top to bottom? But surely, the puzzle is corrupt in the database!
Hardest mate in 1 puzzles
rxd8 rxd8
Yes! And rb8+ rxb8#. And I added a pawn which gives another line: exd6 rxc8#
what about 394
As I wrote, #394 is OK. It's not that complicated but neither are most puzzles in this topic.
e.p. of course. What else would be interesting in this position?
The trick with the rook delivering discovered check on white's last move is well-known among retrograde composers.

Is that some sort of joke where as it only says ‘mate’ then stalemate also counts, so just d8=Q (stale)mate? Although that would be strange as the pawn on c6 and the B would be irrelevant

The answer is d8=R, taking the rook from b6 and placing it on d8. This is why the rules say "new queen, rook, bishop or knight of the same colour".
This position was composed by the late Richard Haddrell; https://pdb.dieschwalbe.de/P1377144
Might I ask what your published source of the problem is?

thanks for the Haddrell source! i think i found it in an old issue of CHESS but i lost or never had the solution. it's so long ago (over 50 years) that i ran across it!
It is actually funnier than that. The diagram states "Black to move", but no, it is white to move. En passant (exf6) can't be played, but e6 is the "solution" for some reason.
Some of these glitches might be related to the fact that it's a 8-year-old post and diagram.
Don't know where you got that from. The first post of this puzzle are in #6, #7 and #8. "White to play" and the invisible text answer is exf6 e.p..#. The puzzle itself appears corrupt and gives no answer or playable moves whatsoever. Not unusual for chess.com these days.
Yes, I am talking about post number 6. The diagram says "Black to move" (on my computer it seems like it anyway), and I can make a white move, and exf6 is impossible, and e6 is accepted as a solution. If it works differently for you, then the whole thing is more mysterious than I thought.