Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
1 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 1,000 / 3,000
1 / 2
Wrath of the Lich King
1 / 5
The Sons of HodirNo standing yet
1 / 2
The SunreaversRevered · 9,616 / 21,000
0 / 2
The Wyrmrest AccordNeutral · 1,105 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 3,062 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
11 / 5334 to get now
Bilgewater CartelFriendly · 4,068 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,736 / 6,000
1 / 8
OrgrimmarHonored · 6,665 / 12,000
5 / 18
Silvermoon CityFriendly · 148 / 6,000
0 / 9
Thunder BluffFriendly · 3,238 / 6,000
0 / 8
UndercityFriendly · 623 / 6,000
5 / 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, 3 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.