This gal did see some Standard play in some builds of Red Deck Wins, although most of the card's success was seen in Magic Online Daily Events. To be fair, this was a pretty good card at the time and scanning Top 8 deck lists probably doesn't do it justice. She was also an extremely solid creature in Limited.
After leaving Standard, War-Name Aspirant mostly sees play in Commander. The Warrior is listed in about 100 EDH decks according to EDHREC. Primarily, the Aspirant is played in the Warrior Tribal focused decks led by Lovisa Coldeyes and Najeela, the Blade-Blossom. Also, one of the better one-vs-one Commanders, Zurgo Bellstriker, has played a copy of War-Name Aspirant. Other Commanders who have recruited the Aspirant include Zurgo Helmsmasher, Lovisa Coldeyes, and Alesha, Who Smiles At Death. As one of the better creatures with Raid from Khans of Tarkir, it's nice to see that War-Name Aspirant still sees some play, even if it's fairly limited.