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
RamkahenNeutral · 2,000 / 3,000
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirHated · 1,300 / 36,000
0 / 2
The SunreaversFriendly · 2,849 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 1,579 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
21 / 5321 to get now
Bilgewater CartelFriendly · 1,602 / 6,000
0 / 1
Darkspear TrollsNeutral · 2,002 / 3,000
1 / 8
OrgrimmarFriendly · 3,510 / 6,000
13 / 18
Silvermoon CityFriendly · 2,502 / 6,000
3 / 9
Thunder BluffNeutral · 2,002 / 3,000
1 / 8
UndercityFriendly · 1,602 / 6,000
3 / 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.