Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
3 / 3Complete
Hellscream's ReachNo standing yet
1 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
0 / 52 to get now
The Sons of HodirNo standing yet
0 / 2
The SunreaversRevered · 18,902 / 21,000
0 / 2
The Wyrmrest AccordFriendly · 1,820 / 6,000
0 / 1
The Burning Crusade
0 / 161 to get now
Cenarion ExpeditionNo standing yet
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardRevered · 550 / 21,000
0 / 5
The Mag'harHonored · 9,228 / 12,000
0 / 4
Horde
11 / 5342 to get now
Bilgewater CartelNo standing yet
0 / 1
Darkspear TrollsNo standing yet
0 / 8
OrgrimmarNo standing yet
11 / 18
Silvermoon CityNo standing yet
0 / 9
Thunder BluffNo standing yet
0 / 8
UndercityNo standing yet
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 3 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.