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 · 2,200 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversFriendly · 2,454 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 0 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionNeutral · 11 / 3,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harUnfriendly · 2,533 / 3,000
0 / 4
Horde
29 / 5313 to get now
Bilgewater CartelHonored · 7,490 / 12,000
0 / 1
Darkspear TrollsHonored · 1,759 / 12,000
6 / 8
OrgrimmarFriendly · 5,999 / 6,000
16 / 18
Silvermoon CityFriendly · 5,999 / 6,000
2 / 9
Thunder BluffHonored · 3,464 / 12,000
1 / 8
UndercityHonored · 2,949 / 12,000
4 / 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 9 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.