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
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversFriendly · 4,280 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 2,470 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 2,276 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
18 / 5324 to get now
Bilgewater CartelFriendly · 5,401 / 6,000
0 / 1
Darkspear TrollsHonored · 5,099 / 12,000
3 / 8
OrgrimmarHonored · 1,231 / 12,000
8 / 18
Silvermoon CityFriendly · 5,999 / 6,000
3 / 9
Thunder BluffFriendly · 5,999 / 6,000
1 / 8
UndercityHonored · 3,010 / 12,000
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, 3 days ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.