Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenFriendly · 1,620 / 6,000
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversNo standing yet
0 / 2
The Wyrmrest AccordNeutral · 2,359 / 3,000
0 / 1
The Burning Crusade
1 / 16
Cenarion ExpeditionFriendly · 1,721 / 6,000
1 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
39 / 533 to get now
Bilgewater CartelFriendly · 3,114 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,114 / 6,000
6 / 8
OrgrimmarFriendly · 5,114 / 6,000
13 / 18
Silvermoon CityHonored · 7,672 / 12,000
7 / 9
Thunder BluffHonored · 352 / 12,000
6 / 8
UndercityFriendly · 5,114 / 6,000
7 / 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, 1 day ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.