If you need the play/skip button, it becomes quite difficult to find drives, because only one in five or so seems to have it. Here are some others I found:
https://www.kleinanzeigen.de/s-anzeige/elektr … 871740-225-3347 - Some drives in good condition for 5€ / piece. The one on the bottom right is the one with track change buttons from your ebay link.
https://www.kleinanzeigen.de/s-anzeige/lite-o … 962479-225-6817
https://www.kleinanzeigen.de/s-anzeige/cd-dvd … 68364-225-20103
https://www.kleinanzeigen.de/s-anzeige/divers … 1436159-225-786 - A 52X from LG (4th photo) in very nice condition
https://www.kleinanzeigen.de/s-anzeige/cd-lau … 876543-225-9025 - The left one from A-Open is in really nice condition, a good looking drive
https://www.kleinanzeigen.de/s-anzeige/cd-rom … 632957-225-1012 - This has no play button, but it's a vintage Mitsumi Fx400 4x from 1995. Nice collector's item and usually expensive. But need better photos to make a decision.
https://www.kleinanzeigen.de/s-anzeige/disket … 067864-225-8728 - I like this one a lot, seems to be an LG CRD-8483B 48x drive from 1999. Early LG drives have a reputation for being high quality and quiet.
https://www.kleinanzeigen.de/s-anzeige/lite-o … 839648-225-8795
And about this one I posted first, the seller has increased the price to 3€ (lol): https://www.willhaben.at/iad/kaufen-und-verka … n-ide-710331663
But I have also seen this drive with a production date sticker from November 2001, so it doesn't seem to be too new. Lite-On is not the quietest drive, but for DOS and CD Audio it should not matter. And it looks really nice.
Here's another DVD from Lite-On from 2001/2002 in nice condition, I like the looks of this model:
https://www.willhaben.at/iad/kaufen-und-verka … drive-709693544
https://www.willhaben.at/iad/kaufen-und-verka … d-122-707377972
Here's a Samsung 32x from 1999 in very nice condition: https://www.ebay.com/itm/364315882668
And a NEC 52x in good condition, I read that these are relatively quiet: https://www.ebay.com/itm/235153629555
I'm currently looking for an IDE DVD drive myself, so if I stumble across a good offer, I'll let you know.