The following fall into the latter category. Well I think so anyway. (Note for pedants: I believe some of these may be better described, by people who care about such things, as "mash-ups".)
- Bob Marley: No Woman No Cry (Love Is A Losing Game Remix)
- Marvin Gaye: Let's Get It On (Da Producers MPG Groove Mix) (While we're at it, the Motown Remixed album on which this appears may be worth dipping into)
- The Beatles: Blackbird (Bonzai Republic Remix)
- "Afrobeatles" The Fab Four meet Fela Kuti (ticks two big boxes for me). Some of these work better than others. I think "Come Together" is probably the pick.