It may be that I don't know where it is, but I think the advanced search function needs to be made more... well, advanced. XD By this I mean searching based on statistic value. A lot of people put up sylestis for sale or breeding, and while this is great, it can make it difficult to find one to buy or sell with the higher statistics a stat breeder might desire. For example, right now I'm currently in the process of searching over 500 pages of Lighira males to breed for under 5,000 gold. I just want one in with statistics all in the 80s at least, but I'm stuck with this long list. I hope you take my idea into consideration though if it hasn't already been. If it is there already though, could someone tell me how to find it? I do not want to look through all of these pages every time I do this. ._.)

Unfortunately, there is no way to search by stats at the moment. I know people have mentioned wanting it before, though, so maybe it's in the works/planned to happen sometime in the distant future?

Some things to keep in mind that might help narrow it down a bit...
-Themed pets tend to have higher stats than non-themed pets
-Max stat pets will /always/ be offspring
-High-stat pets will probably be offspring (on the way to max stats), though sometimes themed kids with a lot of boosts added from brewing/gardening/whatever can have really high stats too (like this guy)

So you might have more luck if you narrow the search to offspring or themes, so you can at least weed out the tamed pets (which, with the exception of high-trait TLG pets, usually have very low stats), generated pets, etc.