The Look identical to me.
The Exclusive differences between Blue and Red are there Pokemon
--Red--
Feebas Mantine Plusle Porygon Roselia
--Blue--
Aipom Lapras Magikarp Minun Porygon2
Source
Pokemon Red Rescue Team is a GBA game pak, while Pokemon Blue Rescue Team is a DS game card. You can only play Red Rescue Team with a Gameboy Advanced (GBA) or Gameboy Advanced Special (GBA SP), but you can play both games with a DS.