My PAA Prismatic and my BullGoose Asylum Evolution fit both categories for me, actually. They move around at any angle, and I can buff for days.
Santa,Brother Q,
The Type E, G, and I Schick injector razors, and the DE Gillette Flare Tip and Red Tip Super Speeds probably are the best for maneuverability and buffing, but others are fine too.
The name Super Speed has a literal meaning. It's not just advertising hype.
Another vote for a tech, they perform amazingly, they last forever and they are very inexpensive.Pre-war Gillette Tech