What essentials should every flashaholic own? (Other than flashlights)

Strong fine pointed tweezers.

Circlip pliers

Very fine pointed pliers.

Wire cutters that don't snap when force is applied.

Wire stripping tool - teeth are the usual field expedient for this.

I find haemostats incredibly useful. May be called locking tweezers. No point in buying expensive surgical grade ones though.

A small vice - or in the US vise.

Cleared space to work. I work on top of a large sheet of paper (A3/11x17") which makes it much harder to lose small parts. I still manage anyway.

An old ceramic tile for soldering on.

Desoldering braid. Cheap and handy for lowering resistance.

A few feet of solid core Cat3/4/5/6 (It doesn't have to be fancy, and Cat3 has less twist so is easier to part out) ethernet cable. If you have the Ultrafire C3 habit I have, a strand of copper from this stuff is invaluable for forcing the parts to make electrical contact with each other. I think I own about 400m of the stuff left over from network wiring jobs.

In extreme cases a metre long Stilson wrench can come in handy.