In order of need. The idea here is that my character wouldn't feel 'complete' until I had all these edges.
Elf sword spec:
Seven winds
Seasoned traveler (everyone without pathfinding/refresh needs this, sword specs maybe the most though)
All 4 warrior healing edges
Both swiftstrike edges
Wise recovery
Speed flurry (could definitely put this a lot higher, ymmv)
Furious whirlwind
Gift to the departed
Any hero assassin:
A 'buki' edge
A 'master' edge
Either the kot or kans edge (both expensive and powerful)
Smoke and mirrors (some would put this at the top)
Seasoned traveler
Master of Owaza
Master of Uraken
There are a bunch of other good ones too depending on what you're going for, but in general assassin edges are as expensive as they are powerful.
Human bard:
Swashbuckler
Feign weakness
Force of personality
Perfect pitch
Languid lullaby
Daunting dirgesinger
Erode confidence
Proficient Instrumentalist
There are probably more, and some will disagree with the order a bit.
Also, there are a ton of good general edges that I didn't even mention - many depend on who your current enemies are.