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 · 1,100 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversHonored · 5,126 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 357 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 2,734 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
1 / 5341 to get now
Bilgewater CartelFriendly · 5,497 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,751 / 6,000
0 / 8
OrgrimmarHonored · 410 / 12,000
1 / 18
Silvermoon CityRevered · 2,937 / 21,000
0 / 9
Thunder BluffFriendly · 5,524 / 6,000
0 / 8
UndercityFriendly · 5,111 / 6,000
0 / 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 7 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.