Wild Act (1998)

Blurb:
Yuniko is a thief, but there are only specific things she is after. She tries to locate and steal everything she can lay her hands on that once belonged to the late actor Akira Nanae. Her mom—who is currently ailing and in the hospital—once had a relationship with the famous star, and Yuniko hopes to lift her mother’s spirits by delivering to her memorabilia. While on her quest, she meets Ryu, an Akira look-a-like who becomes very interested in Yuniko herself ...

Source: www.anisearch.com/manga/859