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 · 2,400 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversNeutral · 2,606 / 3,000
0 / 2
The Wyrmrest AccordNeutral · 2,710 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 7,411 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harUnfriendly · 2,530 / 3,000
0 / 4
Horde
14 / 5330 to get now
Bilgewater CartelRevered · 17,492 / 21,000
0 / 1
Darkspear TrollsHonored · 2,489 / 12,000
2 / 8
OrgrimmarNo standing yet
7 / 18
Silvermoon CityHonored · 7,219 / 12,000
1 / 9
Thunder BluffHonored · 499 / 12,000
1 / 8
UndercityHonored · 3,499 / 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, 4 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.