Curtis played with New Grass for 10 years. During that time, they made six albums and toured all over the United States, Canada, Japan, Austrialia, and New Zeland. They toured extensively with rock singer and musician, Leon Russell, which led to two albums and a video with him. They recorded and toured with others such as John Hartford, Buddy Emmons, Vassar Clements, Chuch Cochran, Garth Fundis, Rich Adler, Ronnie Dunn, Willie Nelson, John Starling with Lowell George and Bill Payne of Little Feat, Tut Taylor, Norman and Nancy Blake, and Kenny Malone, just to name a few. In 1987, Curtis performed with Doc Watson and Jack Lawrence on Garrison Keillor's "Prairie Home Companion" show on The Disney Channel. That same year he toured with Leon Redbone.
The latest endeavor for Curtis for recording with Jerry Douglas and Tut Taylor's production of "The Great Dobro Sessions" which also included Mike Auldridge, Sally Van Meter, Josh Graves, Oswald Kirby, Gene Wooten, Rob Ickes, Stacy Phillips, and a host of super acoustic sidemen. This unique recording was recognized with a Grammy award for Best Bluegrass Instrumental Recording of the Year, 1995. Burch also plays with Bent Ear Artist Skip Bethune and is featured on the Deadnecks "Tornados and Trailers," an 11 song cd on KLOW records.