FF8 has enc-half and enc-none learnable by Diabolos, FFX has no encounters on randomly dropped armor about halfway in the game, FFX-2 let's you steal charm bangle pretty early in the game (CH2 or 3) and there's also a lure bangle somewhere. FF12 pretty much lets you decide the encounter rate by just not running into monsters, or just running past them, ignoring their aggro.