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 ReachFriendly · 1,525 / 6,000
0 / 1
RamkahenNo standing yet
2 / 2
Wrath of the Lich King
3 / 5
The Sons of HodirNo standing yet
2 / 2
The SunreaversRevered · 12,549 / 21,000
0 / 2
The Wyrmrest AccordNo standing yet
1 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionRevered · 8,677 / 21,000
0 / 1
NetherwingRevered · 10,455 / 21,000
0 / 6
Sha'tari SkyguardNeutral · 1,335 / 3,000
0 / 5
The Mag'harNeutral · 700 / 3,000
0 / 4
Horde
42 / 5311 to get now
Bilgewater CartelNo standing yet
0 / 1
Darkspear TrollsNo standing yet
6 / 8
OrgrimmarNo standing yet
16 / 18
Silvermoon CityNo standing yet
7 / 9
Thunder BluffNo standing yet
6 / 8
UndercityNo standing yet
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 10 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.