New Player
Where to start for a new player ...
Eve Online can seem like an overwhelming place when you first start the game, but Eve University is here to help you.
The first two things you need to do on your journey into Eve is find an activity that you enjoy doing, the second is to find an activity that pays for the first, that you don't mind doing. If you are lucky they may be the same activity!
If you are not sure what you like doing, make sure to do the Tutorial and Career Agent missions as these will give you a small taster for some of the activities available to you.
When choosing that first activity make sure it is something you enjoy doing, it does not have to be the most efficient thing you can do, but if you don't like doing it you won't like playing Eve. The same applies to a lesser extent to your ISK making activity, generally its not going to be the most enjoyable thing long term, and may end up feeling like a bit of a grind. Another thing to consider is that Eve has lots of opportunities, so don't be afraid to jump from one activity to another (That said, Eve is huge so don't try to master everything at once, there will be plenty of time for that as you progress in the game.
People in game will tell you a couple of things that you need to just ignore (at least for now). One of those is that you are not being efficient - if you are having fun who cares. The other is that <damn can't remember what I was going to add here!>. Don't be in a rush to do everything, train every skill or fly every ship. Eve is a game for the long term and, I believe, you will enjoy it more if you take it at your own pace. Don't let people tell you that you need to use Skill Injectors or buy Plex with RL$ to get you ahead, as part of the fun is learning how to make your own ISK.
Don't be afraid of losing ships, but at the same time try not to make too many stupidly expensive mistakes. E-Uni is often at war and there are some ships that are best flown on an alt to avoid the extra risk. The same goes for visiting Trade Hubs, these are often camped by both gankers and war targets, using an OOC Hauler and contracts can remove a lot that risk for just a little effort. Another thing that can help considerably is most campuses have access to the Hauling Service and also have a Buy-Back Service, both of these things can make your life a lot simpler and avoid painfully expensive losses.