I'd like to know if playing an Aarakocra character is currently legal in the D&D 5e Adventurers League.
The Aarakocra race has been in D&D for a while, but is described in detail in 5e in the Elemental Evil Player's Companion on page 3:
This chapter presents three new races to supplement those in the Player's Handbook […] These new options are available when you make a character, provided that your DM allows them in your campaign.
Best Answer
There is no way for a starting character to be an Aarakocra or a Winged Tiefling, because the Adventurers League Player's Guide v9.1 says:
The referenced "campaign documentation" can be acquired two ways.
No other seasons have had an equivalent DM Quest.
Season 9 has added an option for tiefling and aasimar characters to gain wings when they reach T2, but that obviously isn't an aarakocra.