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 · 1,500 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversHonored · 1,035 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 1,859 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 6,329 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harUnfriendly · 2,511 / 3,000
0 / 4
Horde
28 / 5314 to get now
Bilgewater CartelFriendly · 2,472 / 6,000
0 / 1
Darkspear TrollsFriendly · 1,728 / 6,000
3 / 8
OrgrimmarFriendly · 5,133 / 6,000
15 / 18
Silvermoon CityFriendly · 3,372 / 6,000
5 / 9
Thunder BluffNeutral · 2,872 / 3,000
4 / 8
UndercityFriendly · 2,472 / 6,000
1 / 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 5 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.