Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
0 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 2,000 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,300 / 36,000
0 / 2
The SunreaversFriendly · 5,615 / 6,000
0 / 2
The Wyrmrest AccordFriendly · 1,582 / 6,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 3,274 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNeutral · 945 / 3,000
0 / 5
The Mag'harFriendly · 4,164 / 6,000
0 / 4
Horde
41 / 533 to get now
Bilgewater CartelHonored · 4,644 / 12,000
0 / 1
Darkspear TrollsHonored · 11,374 / 12,000
6 / 8
OrgrimmarRevered · 814 / 21,000
15 / 18
Silvermoon CityRevered · 3,055 / 21,000
7 / 9
Thunder BluffHonored · 499 / 12,000
6 / 8
UndercityNo standing yet
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, about 3 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.