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
RamkahenNeutral · 2,000 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,950 / 36,000
0 / 2
The SunreaversHonored · 4,603 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 2,145 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 531 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
13 / 5329 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,999 / 6,000
0 / 8
OrgrimmarHonored · 74 / 12,000
10 / 18
Silvermoon CityHonored · 99 / 12,000
2 / 9
Thunder BluffHonored · 9,135 / 12,000
0 / 8
UndercityFriendly · 5,999 / 6,000
1 / 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 1 hour ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.