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 · 0 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 975 / 36,000
0 / 2
The SunreaversHonored · 588 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 975 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 2,100 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNeutral · 0 / 3,000
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
22 / 5322 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
0 / 1
Darkspear TrollsHonored · 3,109 / 12,000
0 / 8
OrgrimmarNo standing yet
14 / 18
Silvermoon CityHonored · 1,842 / 12,000
4 / 9
Thunder BluffFriendly · 5,999 / 6,000
0 / 8
UndercityHonored · 2,999 / 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 15 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.