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 · 500 / 3,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversHonored · 9,057 / 12,000
0 / 2
The Wyrmrest AccordNeutral · 650 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 5,002 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
23 / 5319 to get now
Bilgewater CartelFriendly · 4,075 / 6,000
0 / 1
Darkspear TrollsFriendly · 2,475 / 6,000
0 / 8
OrgrimmarFriendly · 2,475 / 6,000
9 / 18
Silvermoon CityFriendly · 5,975 / 6,000
7 / 9
Thunder BluffFriendly · 2,475 / 6,000
6 / 8
UndercityFriendly · 5,075 / 6,000
1 / 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 8 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.