If you're building a server for somebody else, and have to ask about which components are important, you should probably be buying an HP/Dell/Lenovo server instead.
Because in 2 years 11 months when the thing lights itself on fire and destroys their data, backups, and the building, guess who has two thumbs and isn't liable?
::does his "this guy" happy dance::
Anyway, if you're dead set on building it yourself for some reason (protip: you don't save any money) you want:
Xeon CPUs
ECC RAM
Dual PSUs
Power Filter/UPS
Networking is important, like corky said, but it depends on the system - I'd worry more about expensive Intel NICs on a file server than I would on an email server.
re: what Tsuwamono said, hard drives are a funny thing - if you have a big population, it's sometimes cheaper to buy crappy ones and accept the higher failure rate (depending on how much money you save on individual drives.) For a small population (<10), I'd buy whichever brands/models won the last BackBlaze population study - it might be a few bucks more, but with any luck, you won't have any failures for the life of the server.