Domesticating certain animals like Wild Cats.
Cooking skill for making treats for your pet.
Be able to groom them like we can now, but also pet them and other things to keep them loyal instead of taming them 20 more times to increase loyalty.
Ability to create pet feeders (bowls) and toys (part of toy making with these new game boards) to retain loyalty.
Have the creatures after being at a certain loyalty get a skill level (with special moves) so we can go out fighting and skill up our new animal partner making it stronger. Need to be able to track it's skill level and how strong it's becoming.
Make traits when breeding more valuable for combat.
Tame more than 1 creature at a time based on skill level (can tame a second creature after 50 taming skill). I know you can have bears and hell hounds lead your large cart and only seen it done couple of times years ago.
Make it easier to control creatures that are tame like always following you unless they are attacking something without having to be lead again.
Rework Animal Husbandry at the same time of doing taming since they are related. Would guess taming and AH would work together for certain additions.
I've probably posted this same suggestion 4+ years ago.