Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 3
Hellscream's ReachNeutral · 250 / 3,000
0 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversFriendly · 2,144 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 506 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
34 / 5312 to get now
Bilgewater CartelFriendly · 1,165 / 6,000
0 / 1
Darkspear TrollsNeutral · 1,565 / 3,000
7 / 8
OrgrimmarFriendly · 747 / 6,000
14 / 18
Silvermoon CityFriendly · 5,482 / 6,000
0 / 9
Thunder BluffNeutral · 1,565 / 3,000
5 / 8
UndercityFriendly · 1,540 / 6,000
8 / 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, 16 minutes ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.