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 ReachFriendly · 850 / 6,000
0 / 1
RamkahenNeutral · 2,350 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversHonored · 10,282 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 2,359 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 7,142 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardFriendly · 716 / 6,000
0 / 5
The Mag'harHonored · 7,712 / 12,000
0 / 4
Horde
24 / 5322 to get now
Bilgewater CartelHonored · 5,369 / 12,000
0 / 1
Darkspear TrollsHonored · 6,434 / 12,000
0 / 8
OrgrimmarNo standing yet
12 / 18
Silvermoon CityNo standing yet
5 / 9
Thunder BluffHonored · 6,920 / 12,000
0 / 8
UndercityHonored · 10,310 / 12,000
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, 2 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.