BJJ is a sport, with rules, that don't allow eye gouging.
If you are interested in that, you should take something like Hagannah. It teaches all kinds of evil stuff, one of the concepts are that you need to end fights because you assume you can't escape, so the three choices are: subdue (mainly for law enforcement, not recommended), immobilize (techniques for breaking ankles and back mostly), and death (some cool techniques for twisting a guys skull off the top of their spine).
There is a whole ground portion to the system, but the idea is that you want to be on your feet, the ground stuff is really ways to hurt someone quickly so that you can get back up on your feet. There are some of what you'd call submissions, but they don't teach to submit. I believe the term is that 'if they tap, it means you are doing something right, so keep going'.
Also, there is technique for eye-gouging.... it's referred to as 'going bowling', if you stick your finger in an eye, you have to push it all the way in like you'd do for a bowling ball. It also advises against biting because of disease, but the general rule is that if you bite, you need to keep going until your teeth touch. Otherwise, you aren't doing any real harm and only playing around.
That being said, whenever you learn a self defense system, the limitation is that you can't practice at 100% because you will run out of partners. This is one reason I've switched to BJJ. I can have fun and I can actually use what I've learned on a daily basis. Plus, I like the sport part of it.