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
RamkahenFriendly · 4,485 / 6,000
0 / 2
Wrath of the Lich King
1 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversNeutral · 1,462 / 3,000
0 / 2
The Wyrmrest AccordFriendly · 9 / 6,000
1 / 1
The Burning Crusade
5 / 16
Cenarion ExpeditionHonored · 35 / 12,000
1 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harUnfriendly · 2,511 / 3,000
4 / 4
Horde
37 / 5313 to get now
Bilgewater CartelRevered · 4,000 / 21,000
0 / 1
Darkspear TrollsNo standing yet
3 / 8
OrgrimmarNo standing yet
14 / 18
Silvermoon CityHonored · 1,759 / 12,000
7 / 9
Thunder BluffNo standing yet
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 2 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.