Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 31 to get now
Hellscream's ReachNo standing yet
0 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
4 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversNo standing yet
1 / 2
The Wyrmrest AccordHonored · 984 / 12,000
1 / 1
The Burning Crusade
6 / 16
Cenarion ExpeditionHonored · 5,109 / 12,000
0 / 1
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harHonored · 1,642 / 12,000
0 / 4
Horde
42 / 5311 to get now
Bilgewater CartelNo standing yet
0 / 1
Darkspear TrollsNo standing yet
6 / 8
OrgrimmarNo standing yet
16 / 18
Silvermoon CityNo standing yet
7 / 9
Thunder BluffNo standing yet
6 / 8
UndercityNo standing yet
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, 8 months ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.