Her father was a theatre actor who performed in stage dramas such as Barrister Hamu and Hingana Kolla.

[4] Meanwhile, when Anoja was in grade 9, she acted in the play Anduren Eliyata produced by Newton Gunaratne and Yoga Balasuriya of Mahanama College, Moneragala.

[4] Weerasinghe first came to the screen with a minor role in Yasapalitha Nanayakkara's film Tak Tik Tuk.

Her popular role in 1980s came through Araliya Mal, Channayi Kello Dennayi, Peraḷikārayō, Mamayi Rajā, Sināsenna Raththaran and Yukthiyaṭa Væḍa.

She has also acted in Pakistani Urdu films like Raththathin Rath Thame, India-Sri Lanka co-production film Hum Se Na Takrana, Agar Tum Na Hote, Suraj Bhi Tamasha, Miss Lanka, Naadani, and Do Haath.

After return to Sri Lanka, she started the 'Advanced Performing Arts Institute' on the land belonging to the Bellanwila Rajamaha Vihara adjoining temple.