Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
0 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenNeutral · 2,000 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversRevered · 7,337 / 21,000
0 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionHonored · 11,974 / 12,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
7 / 5335 to get now
Bilgewater CartelHonored · 715 / 12,000
0 / 1
Darkspear TrollsHonored · 2,270 / 12,000
0 / 8
OrgrimmarHonored · 3,149 / 12,000
7 / 18
Silvermoon CityFriendly · 1,825 / 6,000
0 / 9
Thunder BluffFriendly · 4,412 / 6,000
0 / 8
UndercityFriendly · 3,687 / 6,000
0 / 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.