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 · 2,322 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 2,795 / 3,000
0 / 1
The Burning Crusade
1 / 16
Cenarion ExpeditionRevered · 406 / 21,000
0 / 1
NetherwingNeutral · 0 / 3,000
1 / 6
Sha'tari SkyguardNeutral · 40 / 3,000
0 / 5
The Mag'harFriendly · 5,110 / 6,000
0 / 4
Horde
36 / 5312 to get now
Bilgewater CartelHonored · 3,962 / 12,000
0 / 1
Darkspear TrollsRevered · 3,596 / 21,000
6 / 8
OrgrimmarNo standing yet
16 / 18
Silvermoon CityNo standing yet
1 / 9
Thunder BluffRevered · 6,376 / 21,000
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, 9 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.