This is a community wiki article for everyone to write a list of unwritten rules in Eve Online. If you change a rule in the main part of the article, add an answer to indicate why.
- Real Life (tm) ALWAYS comes first
- Eve Online is a game. Enjoy it!
- Never undock unless your medical clone can hold all your skillpoints
- Never undock a ship that you can't afford to lose (fittings and cargo, included) this goes for the stuff in your skull as well (Implants)
- No space is safe space. CONCORD punishes, it does not protect.
- ALWAYS get FULL insurance on any ship you fly.
- ALWAYS use warp-to-0km when traveling in Hi-sec/Low-sec.
- NEVER warp to 0km on gate or station in 0.0, unless you know what is happening at the destination (or you're the only one in system)
- If it sounds too good to be true, it probably is. Paranoia pays dividends!
- Never haul more than 20 million worth of goods into Jita in a T1 hauler
- Just because you CAN fly something doesn't mean you SHOULD
- Always keep local open in low/null sec space
- Never go AFK in a low/null sec system while undocked. It is a risk in high sec, too
- Always check the map for activity when traveling through low/null sec
- Never mine solo in a barge/exhumer in low/null sec
- Always make safespots in low/null sec systems that you visit frequently
- ALWAYS listen to your FC you are an extension of his will.
- HAVE your session timer showing and beware of short warps.
- NEVER Fit ECM Burst, unless you know what your doing...Then you won't fit ECM Burst
And some less serious ones
- Smartbombs ain't that smart.
- You are not Superman; Cruisers and tackler-frigates pilots take note.
- Sitting in space in your pod is Nature's way of telling you to slow down.
- If it's stupid but it works, it isn't stupid.
- Try to look unimportant; the enemy may be low on ammo and not want to waste a bullet on you.
- The enemy diversion you're ignoring is their main attack.
- The enemy invariably attacks on two occasions: 1. when they're ready. 2. when you're not.
- There is no such thing as a perfect plan.
- The important things are always simple; the simple are always hard.
- Teamwork is essential; it gives the enemy other people to shoot at.
- Incoming fire has the right of way.
- No combat ready unit has ever passed inspection - No inspection ready unit has ever passed combat.
- If the enemy is within range, so are you.
- Anything you do can get you killed, including nothing.
- Make it too tough for the enemy to get in, and you won't be able to get out.
- If you take more than your fair share of objectives, you will get more than your fair share of objectives to take.
- When both sides are convinced they're about to lose, they're both right.
- Professional soldiers are predictable; the world is full of dangerous amateurs.
- Gang/Fleet experience is something you don't get until just after you need it.
- You're only better than your enemy if you kill him first.
- Just because you have an unbreakable shield or armour tank, doesn't mean you don't have exposed areas...
- Give an order, then change the order, will get you disorder.
- Never be first. Never be last. Never volunteer for anything.
- Not even the podded have seen the end of war!
- DO NOT pick a fight with a superior force unless you are fighting on your terms, or you like waking up as GOO in station.
- Prepare the best you can for a fight but bare in mind no Strategy survives the first engagement with an enemy.

See here for more n00b advice: http://wiki.eveonline.com/en/wiki/NewCitizensUseful_threads
small change to warp to 0 rule and a couple of additions. :)