Grateful Dead

Acoustic Set: Truckin*, Dire Wolf, Friend Of The Devil, Dark Hollow, Ripple* > Brokedown Palace*, Operator*, Rosalie McFall, New Speedway, Cold Jordan, Swing Low Electric Set: Dancin, Next Time You See Me, Mama Tried, Cryptical > Drums > Other One > Cryptical > Sugar Magnolia, Attics, Man's World, Not Fade Away, Casey Jones > Uncle John's Band

Although the above information (which was obviously lifted from Deadbase) lists the debut of those four songs, there is a good chance that one or more of the songs were played on 8/17/70.