It is impossible to discuss this topic without addressing the copyright implications. While Archive.org operates under specific exemptions for software preservation, downloading and playing ROMs for games one does not own remains a legal gray area in many jurisdictions.

: This collection includes a "MAME4Droid v0.139u1 Full Roms.zip" (approx. 24.0GB).

Simply having the game ROM is often not enough. You will likely need additional support files found in the same Archive.org directories: MAME4droid Tutorial | Video Game Emulation for Newbies

MAME0. 139RomCollectionByGhostware directory listing. Internet Archive Audio. Live Music Archive Librivox Free Audio. Internet Archive MAME0.139RomCollectionByGhostware : Ghostware