Mainstream

• Heads, Sides, Positions 1-4
• Circle to the Left
• Circle to the Right
• Do Sa Do
• Forward and Back
• Swing
• Promenade
• Promenade Halfway
• Single File Promenade
• Allemande Left
• Right Hand Turn (Turn Thru)
• Right & Left Grand
• Weave the Ring
• Right Hand Star
• Left Hand Star
• Pass Thru
• U Turn Back
• California Twirl
• Partner Trade
• Star Promenade
• Promenade Full
• Promenade 3/4
• Grand Square
• Half Sashay
• Roll Away with a Half Sashay
• Ladies In Men Sashay
• Right & Left Thru
• Box the Gnat
• Wrong Way Grand
• Ladies Chain (including variations)
• Back Track
• Lead Right
• Circle to a Line
• Bend the Line
• All Around Your Left Hand Lady
• See Saw
• Square Thru 4
• Square Thru 3
• Square Thru 2
• Wheel Around
• Star Thru
• Slide Thru
• Veer Left
• Veer Right
• Wheel & Deal
• Ladies Promenade
• Gents Promenade
• Step to an Ocean Wave
• Swing Thru
• Run
• Trade
• Pass the Ocean
• Dive Thru
• Extend
• Circulates (general/boys/girls/all eight/ends/centers/couples)
• Ferris Wheel
• Zoom
• Touch a Quarter
• Scoot Back
• Flutter Wheel
• Reverse Flutter Wheel
• Do Paso
• Thar
• Slip the Clutch
• Allemande Thar
• Shoot the Star
• Wrong Way Thar
• Spin the Top
• Alamo Style Wave
• Wave Balance
• Column Circulate
• Split Circulate
• Box Circulate
• Chain Down the Line
• Sweep a Quarter
• Cross Run
• Left Swing Thru
• Single Hinge
• Separate
• Trade By
• Wheel & Deal (Lines of 4)
• Couples Trade
• Couples Hinge
• Folds
• Cross Fold
• Centers In
• Centers Out
• Split the Outside Couple
• Double Pass Thru
• Cloverleaf
• Left Square Thru
• Cast Off 3/4
• Walk & Dodge
• Pass to the Center
• Dixie Style to an Ocean Wave
• Tag the Line
• Half Tag the Line
• Recycle
• 8 Chain 4
• 8 Chain Thru
• Spin Chain Thru

All links open in a new tab and point to the moment the move name is announced in the respective YouTube videos from the "Video Square Dance Lessons - Mainstream" series. Timestamps are approximate to the verbal naming before demonstration starts.