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 · 650 / 6,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversRevered · 183 / 21,000
0 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 647 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
9 / 5333 to get now
Bilgewater CartelFriendly · 1,802 / 6,000
0 / 1
Darkspear TrollsNeutral · 2,202 / 3,000
0 / 8
OrgrimmarFriendly · 3,935 / 6,000
9 / 18
Silvermoon CityFriendly · 2,777 / 6,000
0 / 9
Thunder BluffNeutral · 2,202 / 3,000
0 / 8
UndercityFriendly · 2,702 / 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 3 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.