A couple of tunes come to mind...
Two sad Russian folk tunes:
The Song of the Volga Boatman
Svidanye
A very s-l-o-w, funereal funeral-dirge type rendition of
The Battle Hymn of the Republic.
Some others already suggested that I would seriously consider:
Dvorak's Second Symphony
Hallelujah (Written by Leonard Cohen, but I'd want a different performance of it).
Knockin' on Heaven's Door (not sure whose version)
Some more offbeat possibilities:
Fouret's
Pavanne
Some appropriately sad Indian raga
Some appropriately sad Japanese traditional music (Koto, Samisen, Flute...)
Halfway through, after bringing everyone down with the sad, mournful stuff (just so someone might be tempted to shed a tear for me...

), I'd switch over and gradually bring things back up to more lively, upbeat and optimistic-sounding stuff, as the party got started.... Haven't picked any of those songs yet, though!
I think a three-day funeral would be appropriate. One day of mourning (well, the surviving folks could cut that to a half-day), then two days of celebration before everyone staggers/crawls home for a couple days of recovery.
In reality, I'll be lucky if five people show up for my funeral. Or even two... if I even have a funeral!

:tears: