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
RamkahenHonored · 3,640 / 12,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirFriendly · 5,450 / 6,000
0 / 2
The SunreaversRevered · 2,072 / 21,000
0 / 2
The Wyrmrest AccordRevered · 17,053 / 21,000
0 / 1
The Burning Crusade
11 / 16
Cenarion ExpeditionNo standing yet
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardRevered · 17,751 / 21,000
0 / 5
The Mag'harNo standing yet
4 / 4
Horde
33 / 5319 to get now
Bilgewater CartelHonored · 269 / 12,000
0 / 1
Darkspear TrollsNo standing yet
6 / 8
OrgrimmarNo standing yet
10 / 18
Silvermoon CityNo standing yet
5 / 9
Thunder BluffNo standing yet
5 / 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, 4 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.