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 ReachNeutral · 1,296 / 3,000
0 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversFriendly · 3,572 / 6,000
0 / 2
The Wyrmrest AccordFriendly · 2,646 / 6,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 6,678 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harFriendly · 750 / 6,000
0 / 4
Horde
48 / 53
Bilgewater CartelFriendly · 100 / 6,000
0 / 1
Darkspear TrollsFriendly · 4,123 / 6,000
7 / 8
OrgrimmarHonored · 544 / 12,000
17 / 18
Silvermoon CityHonored · 9,665 / 12,000
8 / 9
Thunder BluffFriendly · 4,123 / 6,000
7 / 8
UndercityFriendly · 4,123 / 6,000
9 / 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 5 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.