Time to Open a Pet Store

There are 595 achievement points for pet battles (and 90 achievements). The 10 which come from this achievement will obviously not be able to count towards it.
For the 3 achievements before this one, you'll get 15 points total.

Remaining Achievements:

Pet Battles - 85 points total (plus the 25 above from earning achievement points)
Defeat 40 master pet tamers: 20 points total
Defeat all of the pet tamers: 40 points total (and title "Tamer")
Defeat the pandaren spirits: 5 points
Defeat Aki the Chosen: 5 points
Defeat the 10 elite battle pets: 5 points
Complete all 40 pet battle daily quests in a single day: 10 points

Collect - 260 points total
Capture an uncommon quality pet: 5 points
Capture 50 rare quality pets: 20 points total
Capture a pet with less than 5% health: 5 points
Capture 200 pets in a pet battle: 30 points total
Capture a pet from every family (10 pets): 10 points
Capture a pet in every zone on every continent: 35 points total
Capture every battle pet in every zone on every continent: 35 points total (and title "Zookeeper")
Collect the 12 pets from the 4 classic raids: 10 points (and [item=93031])
Collect the 10 pets from 3 of the Burning Crusade raids: 10 points (and [item=97558])
Collect 400 unique pets: 100 points total (and a number of pets at milestones: [item=40653] (50 unique pets), [item=44841] (75), [item=71140] (100), [item=71387] (125), [item=54810] (150), [item=85578] (250), [item=89736] (400))

Battle - 175 points total
Win 5000 pet battles: 30 points total
Win 25 consecutive pet battles: 15 points total
Win a pet battle against a pet of every family (10 pets): 10 points
Win 5000 pvp pet battles: 30 points total
Win a pet battle in each of the Horde and Alliance capital cities: 20 points total
Win a pet battle in 60 different zones: 20 points total
Win 5 consecutive pvp pet battles without letting a pet die: 10 points
Win 1000 pvp pet battles through Find Battle with a full team of level 25 pets: 40 points total (and [item=94191] at 250 wins and title "Trainer" at 1000)

Level - 90 points total
Level a pet to 25: 35 points
Raise 75 pets to level 10: 20 points total
Raise 75 pets to level 25: 20 points total (and a [item=88147])
Raise a pet of every family to level 25 (10 pets): 15 points total

01/12/12 edit: updated for 5.1. It seems while quite a few new pets were added, three achievements were added for a total of 15 new points.
25/03/13 edit: updated for 5.2. One new achievement was added and an achievement that was formerly a FoS was given a point value for a total of 10 new points.
24/05/13 edit: updated for 5.3. I counted 6 new achievements, though I think I might've missed the bc raids one from 5.2? Apologies if there are mistakes, I don't really have a system for updating this comment and I don't play WoW anymore.

Just a quick note on this. When you get the achievement the Jade Tentacle pet reward adds directly to your pet list, not your bag or in the mail. There is no text or anything to tell you the pet was awarded. It's a 'Surprise I'm here!' stealth reward.

Wow, this post is constantly updated to always be amazing. I cannot think of anything else i would need to know.