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
RamkahenFriendly · 1,768 / 6,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversFriendly · 411 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 1,859 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 3,011 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNeutral · 0 / 3,000
0 / 5
The Mag'harNeutral · 72 / 3,000
0 / 4
Horde
9 / 5333 to get now
Bilgewater CartelFriendly · 4,882 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,071 / 6,000
0 / 8
OrgrimmarHonored · 1,164 / 12,000
9 / 18
Silvermoon CityFriendly · 1,134 / 6,000
0 / 9
Thunder BluffHonored · 2,683 / 12,000
0 / 8
UndercityFriendly · 3,090 / 6,000
0 / 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 4 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.