Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
0 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 2,200 / 3,000
0 / 2
Wrath of the Lich King
1 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversHonored · 4,185 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 2,343 / 3,000
1 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 6,131 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
37 / 535 to get now
Bilgewater CartelFriendly · 2,501 / 6,000
0 / 1
Darkspear TrollsNeutral · 2,901 / 3,000
6 / 8
OrgrimmarFriendly · 5,421 / 6,000
11 / 18
Silvermoon CityFriendly · 3,401 / 6,000
7 / 9
Thunder BluffNeutral · 2,901 / 3,000
6 / 8
UndercityFriendly · 2,501 / 6,000
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 6 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.