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 · 2,200 / 3,000
2 / 2
Wrath of the Lich King
1 / 5
The Sons of HodirHated · 1,430 / 36,000
0 / 2
The SunreaversNo standing yet
0 / 2
The Wyrmrest AccordNeutral · 2,502 / 3,000
1 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 3,986 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
16 / 5326 to get now
Bilgewater CartelFriendly · 5,999 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,999 / 6,000
0 / 8
OrgrimmarHonored · 3,350 / 12,000
8 / 18
Silvermoon CityRevered · 1,132 / 21,000
4 / 9
Thunder BluffHonored · 1,672 / 12,000
1 / 8
UndercityFriendly · 5,999 / 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, about 5 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.