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
1 / 52 to get now
The Sons of HodirNo standing yet
1 / 2
The SunreaversRevered · 13,839 / 21,000
0 / 2
The Wyrmrest AccordNo standing yet
0 / 1
The Burning Crusade
1 / 1610 to get now
Cenarion ExpeditionNo standing yet
0 / 1
NetherwingNo standing yet
1 / 6
Sha'tari SkyguardHonored · 2,330 / 12,000
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
45 / 537 to get now
Bilgewater CartelRevered · 12,006 / 21,000
0 / 1
Darkspear TrollsNo standing yet
7 / 8
OrgrimmarNo standing yet
17 / 18
Silvermoon CityNo standing yet
7 / 9
Thunder BluffNo standing yet
7 / 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, about 3 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.