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 ReachNeutral · 1,175 / 3,000
0 / 1
RamkahenHonored · 4,536 / 12,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversHonored · 3,669 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
0 / 1
The Burning Crusade
1 / 16
Cenarion ExpeditionHonored · 4,412 / 12,000
1 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNeutral · 1,596 / 3,000
0 / 4
Horde
26 / 5316 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
0 / 1
Darkspear TrollsHonored · 611 / 12,000
4 / 8
OrgrimmarFriendly · 1,000 / 6,000
11 / 18
Silvermoon CityHonored · 1,679 / 12,000
4 / 9
Thunder BluffHonored · 329 / 12,000
4 / 8
UndercityHonored · 249 / 12,000
3 / 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.