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 · 2,100 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 780 / 36,000
0 / 2
The SunreaversNeutral · 170 / 3,000
0 / 2
The Wyrmrest AccordFriendly · 1,342 / 6,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 11,155 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harFriendly · 750 / 6,000
0 / 4
Horde
8 / 5336 to get now
Bilgewater CartelFriendly · 1,585 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,999 / 6,000
0 / 8
OrgrimmarFriendly · 5,999 / 6,000
5 / 18
Silvermoon CityHonored · 2,414 / 12,000
0 / 9
Thunder BluffFriendly · 5,999 / 6,000
0 / 8
UndercityNo standing yet
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, almost 2 years ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.