Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
2 / 2Complete
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
5 / 5Complete
The Silver CovenantNo standing yet
2 / 2
The Sons of HodirNo standing yet
2 / 2
The Wyrmrest AccordNo standing yet
1 / 1
The Burning Crusade
16 / 16Complete
Cenarion ExpeditionNo standing yet
1 / 1
KurenaiNo standing yet
4 / 4
NetherwingNo standing yet
6 / 6
Sha'tari SkyguardNo standing yet
5 / 5
Alliance
52 / 52Complete
DarnassusNo standing yet
11 / 11
ExodarNo standing yet
8 / 8
GnomereganNo standing yet
9 / 9
IronforgeNo standing yet
8 / 8
StormwindNo standing yet
16 / 16
Darnassus and Exodar and Gnomeregan and Ironforge and Stormwind mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Horde
1 / 1Complete
Bilgewater CartelNo standing yet
1 / 1
Standings come from the last update, about 12 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.