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
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
1 / 5
The Sons of HodirHated · 1,300 / 36,000
0 / 2
The SunreaversHonored · 4,013 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
1 / 1
The Burning Crusade
7 / 16
Cenarion ExpeditionHonored · 2,617 / 12,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
42 / 53
Bilgewater CartelFriendly · 1,687 / 6,000
0 / 1
Darkspear TrollsNeutral · 2,087 / 3,000
6 / 8
OrgrimmarFriendly · 3,841 / 6,000
16 / 18
Silvermoon CityFriendly · 2,587 / 6,000
7 / 9
Thunder BluffNeutral · 2,087 / 3,000
6 / 8
UndercityFriendly · 1,694 / 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, about 2 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.