Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
1 / 32 to get now
Hellscream's ReachNo standing yet
0 / 1
RamkahenNo standing yet
1 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversRevered · 18,160 / 21,000
0 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 8,763 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harUnfriendly · 2,573 / 3,000
0 / 4
Horde
20 / 5322 to get now
Bilgewater CartelFriendly · 3,550 / 6,000
0 / 1
Darkspear TrollsFriendly · 3,801 / 6,000
1 / 8
OrgrimmarHonored · 2,179 / 12,000
10 / 18
Silvermoon CityHonored · 7,599 / 12,000
2 / 9
Thunder BluffFriendly · 3,850 / 6,000
0 / 8
UndercityFriendly · 5,269 / 6,000
7 / 9
Darkspear Trolls and Orgrimmar and Silvermoon City and Thunder Bluff and Undercity mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Standings come from the last update, 2 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.