Patch 1.15

A new seasonal update that is only excusive to classic "Season of Discovery" has now added extra pet npc's in some parts of azeroth by doing skill tames on them. And five new looks that are quite a Suprise, including a new family.

New Families

Core Hound

A New Core Hound Family has now been added in this update. In order to tame them, there is a skill required: You must use the "Inferno Lasso" item by completing the "Brought to Heel" quest in the Blasted Lands Zone in order to tame them! They were canonically first tameble in WOTLK.

Upcoming Looks

New Looks

Carrion Bird

Vultures

Upcoming Looks

Crows

Upcoming Looks

Cat

Other Cats

This gorgeous Firecat was added to the classic database of WOW but only used for a special transformation that druids can use. And there are also no wild creatures spotted using this look, making it unused.

Unused Looks

Owl

Upcoming Looks

Wind Serpent

Wyverns

Despite being classed as a Tameble Feathermane in retail. This Wyvern is classed as a Tameble Wind Serpent in Classic.

Upcoming Looks

Untameble Looks

Other Notes

Found in a datamine leak it has been rumored that a tameble horse is coming in this patch in the future. For more information, Click here to see this video. or you can click this link below to show the untameble horse family.

As mentioned in an article here. It has also been rumored that a tameble spirit beast is mentioned in the "Best Hunter Pets For Solo Play and Utility" section. It is unknown if this was an error or an upcoming family.