HANABI, walking proud, and Memorial address - they're just a selection of my favourites that I feel showcase Ayu's 'sound'.
If they enjoyed those tracks, then I would introduce them to her other masterpieces, SURREAL, RAINBOW, Duty, M, evolution, appears, etc.
I would actively try and provide them with a few 'new' Ayu tracks also, like Break down, Mad World, don't look back, Love song, etc.
As much as people say that Ayu is 'over', when you really think about it, she has an incredibly diverse and impressive discography beneath her. I wish she would take advantage of it more in her tours and lives.