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 · 2,995 / 6,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversHonored · 8,351 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
0 / 1
The Burning Crusade
6 / 16
Cenarion ExpeditionFriendly · 1,400 / 6,000
0 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
28 / 5315 to get now
Bilgewater CartelFriendly · 1,696 / 6,000
0 / 1
Darkspear TrollsFriendly · 1,696 / 6,000
4 / 8
OrgrimmarNeutral · 1,996 / 3,000
14 / 18
Silvermoon CityFriendly · 1,000 / 6,000
2 / 9
Thunder BluffFriendly · 1,696 / 6,000
0 / 8
UndercityFriendly · 100 / 6,000
8 / 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 9 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.