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 · 2,000 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,300 / 36,000
0 / 2
The SunreaversHonored · 2,647 / 12,000
0 / 2
The Wyrmrest AccordFriendly · 1,108 / 6,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 1,570 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harUnfriendly · 2,740 / 3,000
0 / 4
Horde
9 / 5333 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
0 / 1
Darkspear TrollsFriendly · 4,242 / 6,000
0 / 8
OrgrimmarHonored · 2,809 / 12,000
5 / 18
Silvermoon CityRevered · 7,084 / 21,000
0 / 9
Thunder BluffFriendly · 3,717 / 6,000
0 / 8
UndercityRevered · 920 / 21,000
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, 2 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.