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 · 3,067 / 12,000
2 / 2
Wrath of the Lich King
4 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversHonored · 5,857 / 12,000
1 / 2
The Wyrmrest AccordHonored · 359 / 12,000
1 / 1
The Burning Crusade
2 / 16
Cenarion ExpeditionHonored · 8,095 / 12,000
1 / 1
NetherwingNo standing yet
1 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNeutral · 866 / 3,000
0 / 4
Horde
47 / 532 to get now
Bilgewater CartelNo standing yet
1 / 1
Darkspear TrollsNo standing yet
7 / 8
OrgrimmarNo standing yet
17 / 18
Silvermoon CityHonored · 2,786 / 12,000
8 / 9
Thunder BluffHonored · 3,344 / 12,000
6 / 8
UndercityHonored · 1,102 / 12,000
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, 2 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.