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
RamkahenFriendly · 1,305 / 6,000
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversNeutral · 0 / 3,000
0 / 2
The Wyrmrest AccordNo standing yet
0 / 1
The Burning Crusade
4 / 16
Cenarion ExpeditionHonored · 2,657 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harFriendly · 4,086 / 6,000
4 / 4
Horde
47 / 53
Bilgewater CartelFriendly · 1,730 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,876 / 6,000
7 / 8
OrgrimmarHonored · 3,078 / 12,000
17 / 18
Silvermoon CityHonored · 1,437 / 12,000
8 / 9
Thunder BluffFriendly · 1,939 / 6,000
7 / 8
UndercityFriendly · 4,539 / 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.