Here's the skills that you can learn from taming wild creatures:

• Bite
• Charge
• Claw
• Cower
• Dash
• Dive
• Fire Breath
• Furious Howl
• Gore
• Lightning Breath
• Poison Spit
• Prowl
• Scorpid Poison
• Screech
• Shell Shield
• Thunderstomp
• Warp

if you have trouble learning a new skill from a wild pet, here are some suggestions:

• Recheck the ability guide or, if you are level 24+, use Beast Lore on the creature to make sure that the wild animal you tamed actually knows this skill.
• Turn off any other skill on its bar besides the one you want to learn, including Growl. You can only learn the skill when the animal uses it, so you want the skill to go off as often as possible.
• For most skills, you will want to have the creature fight solo against very easy mobs. Stand directly next to it and heal it if necessary, but be careful about fighting the mob yourself -- you don't want to kill it before your pet has a chance to use his skill.
• Continually manually spam the skill button for that skill. In fact, some skills such as Prowl and Furious Howl can be learned outside of combat. Just find a quiet place to sit with your pet and keep spamming the skill until you learn it.

Once you have learned a pet skill, you can teach it it any pet that you own so long as the pet is capable of learning that skill. Pets must be high enough level to learn the skills, and some skills can only be learned by certain families of pets. In addition, your pet must have enough training points available to afford the skill.

Pets gain training points based on their loyalty and level. The actual formula is (level)*(loyalty-1). This means that a Loyalty 6 Level 60 pet will have 300 training points total, and a Loyalty 6 level 70 pet will have 350 training points total. Pets of the same loyalty and level will have the same training points regardless of whether they were tamed at a low or high level. Pets may even start with negative training points if they already know some skills when they are tamed, but this works itself out as they level up or level up their Loyalty.

Most pet skills come in several ranks that get more powerful as they go. Your pet does not need to learn ranks in order, and you can bypass ranks if you wish. Your pet is refunded training points for lower ranks when you upgrade the rank of a skill, so it costs the same whether you train every rank of a skill or just the highest one. Pets can also untrain skills for a fee at the pet trainer, just like you can untrain your talents at the hunter trainer. This is important because while each pet can learn as many passive skills (armor, stamina, or resists) as they can afford, they can only learn up to FOUR active skills at once.

Incidentally, Growl can be trained for free even if the pet has 0 or fewer training points - which is quite nice, since it means that your pet can start helping out in combat immediately.

So now you know everything there is to know about training your pet -- except how to actually train your pet! This part is often confusing for young hunters because the icon for Beast Training is actually on the General tab of your spellbook and not, as you might expect, under Beast Mastery. It's the icon that looks like a slingshot. The helpful picture below, on the left, is a nice visual guide! Using this skill will open up a menu (pictured below on the right) that shows you all the pet skills you know -- either because you bought them from the trainer or because you learned them from a pet that knew them. Skills in grey are skills that your current pet already knows; skills in green are skills he doesn't know, although this isn't any guarentee that he can learn that particular skill. When you select a skill in this menu, the details about it show up in the bottom pane. Here you can learn more about the skill and whether or not this pet can learn this skill. If he can, then pressing the Train button will spend the training points and teach your pet the selected skill.