Inspiration4 was the first private civilian mission on SpaceX Crew Dragon.
Polaris Dawn was a test flight of SpaceX's in-development extravehicular activity space suit, tethered to the spacecraft (so not like NASA EMU) but in vacuum.
Fram2 was the first crewed mission in polar orbit, with good view of the North and South poles. Other crewed missions were in less inclined orbits, usually the same inclination as the ISS or as Cape Canaveral.
Slight correction, NASA's EMUs don't use life support umbilicals, but astronauts are meant to always be tethered (safety strap, not life support) while using them. They have SAFER thruster packs as a backup should anybody ever become untethered, but the utility of these is dubious. NASA has done deliberate totally untethered EVAs before, but AFAIK not since the 1980s, as the MMU (SAFER's larger predecessor) was retired after Challenger.
The SpaceX suits used so far do have life support umbilicals.
Polaris Dawn was a test flight of SpaceX's in-development extravehicular activity space suit, tethered to the spacecraft (so not like NASA EMU) but in vacuum.
Fram2 was the first crewed mission in polar orbit, with good view of the North and South poles. Other crewed missions were in less inclined orbits, usually the same inclination as the ISS or as Cape Canaveral.