She is also known for playing Kate Wallace in the Disney western drama series Five Mile Creek from 1983 to 1985.
She later appeared as Candice in 2003 miniseries CrashBurn and as Jilly in Blue Water High from 2005 to 2006.
She has had recurring roles in Ocean Girl, Water Rats and Mission Top Secret, and has made numerous guest appearances in other series such as Behind the Legend, Spring & Fall, A Country Practice, Chances, G.P., Paradise Beach, Home and Away, Wildside, All Saints and Above the Law.
Burch's sister Rosemary unexpectedly passed away from Scleroderma, a rare skin disease.
On a break from filming The Flying Doctors, Burch flew to London to join her costar Andrew McFarlane, so he could be a comfort during her grief.