Here's a bunch of links I've found to be helpful at various times. Feel free to contribute any I haven't included. Credit given to Ozany for many of these.
http://www.shatteredstar.org/groups/eve/ We have our own KillBoard \o/
Maps, Alliances, and Travel:
Science & Industry:
Trade & Markets:
Scanner/Probe use guides:
Highly recommended applications:
EVEMon - Creating a plan for skills, looking up items, ships, implants... it's all there!
WormHoleThingie (yes, that's its name) - great for quick and easy WormHole info
EFT - EVE Fitting Tool, allows you to experiment with ships and module fittings