New pets

Can you remove the ability for someone else to be able to rename your pet with a nametag? Sure you can respawn it but I think i'm going to get annoyed when I turn around and my sheep isn't rainbow anymore.
Also rainbow sheep are named _Jeb instead of {player}'s pet.

Edit:
Im also going to add to this with some new pet ideas:
Slime
Cat (tamed ocelot)
Guardian
Enderman
Baby forms of pets maybe?
Thats all I can think of.

Edit2: Make it so you can ride the undead/skeleton horse c:

 

We can't fix jeb atm.

 

I always surround my jeb_'s with regular glass panes so people can't touch my sheep

 

omg omg omg slimes

 

Can we ride our pets, please?

 

Yus I would love to ride on my silverfish...because that makes sense. xD

 

What about Enderdragons?

 

Guys don't mind this post please, I'm standing around with some people I just met and everything is really awkward so I'm just gonna type this up to avoid making any real conversation with them and so they think I'm cool and have some friends

 

Lol

 

I think it would be cool to ride out pets (at least the ride-able ones). I heard of the shop's glitch, but maybe a kind of invis barrier could be implemented for the horses. People won't be able to abuse then.