I have friends who practice falconry, and while different from reptile ownershipthere are some interesting parallels.
Animals, can become "tame" for a number of reasons. The most basic of which is a form of reliance out of necessity. The animals in question probably recognize you as the bringer of food, and as such, without you, they cannot survive. That is how my friends train their birds.
A higher form of "tameness" is the parent / child. See ducks. Where an animal imprints you as their mother.
Anything beyond the above are usually found only in sentient beings, and as such isn't really useful in this list.
Animals who don't attack because you aren't a perceived threat wouldn't fall under the distinction of being tame... A more accurate term would be uninterested.