Rydyr

Rydyrs pet Baby Bjorn is decidedly the easier of the two enemies. You can actually bring a leveling pet along here which will grant you about 1500-1800 XP (depending on its level).

Here's what you need:

• 
  
• Darkmoon Zeppelin (1 1 2)
• 
  
• Level Pet (any level)
• 
  
• Any Level 25 Pet
• 
  

Bombing Run
Missile
Missile
Decoy
Bombing Run
Missile
Missile - your Zeppelin dies
Bring in your Level Pet
Swap to your third pet
Use any standard attack to kill Mini Björn

Obligatory hint to my guide for Andurs and the other World Quests: here :-)

After learning that you can beat this guy over and over again and after hours of trying to find a way to beat this guy with two leveling pets, I finally found a wierd method by mistake.
Team:
[npc=77221] (1/2/2)
Leveling pet (no restrictions)
Leveling pet (no restrictions)

Round 1: [petability=459]
Round 2: [petability=459]
Round 3: [petability=640]
Round 4: [petability=282]

Somehow killing an enemy while your active pet is dead will count all other pets as part of the fight.
Happy leveling!

The battles against Andurs and Rydyr are repeatable as long as you only fight one of them. The very short battle battle against Rydyr can be used to level up many pets in an unusually short time.

Before beginning get a [item=92738] and some [item=98114] and [item=98112]. The experience gain of these items stacks, so you can use all three at the same time. You should also bring about 100 [item=86143] per hour of battling.

For the pet battle against Rydyr you need:

1. Level pet with at least 371 life.
2. [npc=84885] with [petability=455], [petability=1105] and [petability=209]
3. [npc=55356] with [petability=777], [petability=646] and [petability=209]. (this is rarely needed)

Begin with the level pet
1. pass
2. bring in [npc=84885]
3. [petability=1105]
4. [petability=455]
5. [petability=209]

In the rare case that you haven't won after 5 rounds, the battle continues with
6. bring in [npc=55356]
7. [petability=646]
8. [petability=209]

My Rematch addons says that I have completed this battle 483 times and I have 100% victories. I think it's safe to say from my experience that this method works well for quickly levelling many pets. :-)

Today I played this pet pattle a little over 100 times and I received two [item=92741] and one [item=92675] in my inventory. The Battle Stones were not quest rewards because I haven't fought Andurs yet.

Have fun!
Cleptor-Rexxar-EU

Edit: Typo fixed.
Edit2: Added remark about [item=92741].