Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
3 / 3Complete
Hellscream's ReachNo standing yet
1 / 1
RamkahenHonored · 3,984 / 12,000
2 / 2
Wrath of the Lich King
5 / 5Complete
The Sons of HodirNo standing yet
2 / 2
The SunreaversHonored · 792 / 12,000
2 / 2
The Wyrmrest AccordNeutral · 2,186 / 3,000
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionHonored · 2,750 / 12,000
1 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
5 / 5
The Mag'harFriendly · 2,868 / 6,000
4 / 4
Horde
53 / 53Complete
Bilgewater CartelHonored · 1,409 / 12,000
1 / 1
Darkspear TrollsHonored · 86 / 12,000
8 / 8
OrgrimmarHonored · 5,475 / 12,000
18 / 18
Silvermoon CityRevered · 8,718 / 21,000
9 / 9
Thunder BluffHonored · 2,870 / 12,000
8 / 8
UndercityHonored · 3,009 / 12,000
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, 2 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.