These are skills named after U.S. athletes that are still included in the current FIG Code of Points. List may not be complete.
Women's FIG "Code of Points" Skill
Vault
Biles (Simone Biles) – Yurchenko half on with two twists (Cheng plus a half twist)
Biles II (Simone Biles) – Yurchenko double pike
Uneven Bars
Bhardwaj Salto (Mohini Bhardwaj) – From the high bar, facing the low bar, swing down and flip backwards with a 360 degree twist to catch the low bar
Church (Savannah Church) – Hstd on HB – Pike sole circle bwd counter pike reverse hecht over HB to hang
Fontaine (Larissa Fontaine) – Swing down between bars – swing forward to salto backward tucked with 180 degree twist into salto forward tucked
Frederick (Marcia Frederick) – Stalder backward with 1/1 turn in handstand phase
Maloney (Kristin Maloney) – Swing backwards, bringing feet to the bar and into a handstand position while executing a 360 degree turn to mixed-L or L grip
McNamara (Julianne McNamara) – Jump to clear support on high bar, immediate clear hip circle (circle backward without hips touching bar) to handstand with 180 degree turn in handstand phase on high bar
Okino (Betty Okino) – On high bar, facing away from the low bar, clear underswing with 180 degree twist to back flip in stretched position
Ray (Elise Ray) – On low bar, facing high bar, stalder backward (straddle position underneath bar) to release and hang on high bar
Ray (Elise Ray) – Double layout dismount with two full twists
White (Morgan White) – Stalder forward in L-grip to handstand with 180 degree turn in handstand
Memmel (Chellsie Memmel) – 720 degree turn with free leg held upward in 180 degree split position
Esponda (Reese Esponda) – Butterly BWD torso parallel to floor, slightly arched, legs straddled and feet at or slightly below hip height during flight to land in front lying support
Men's FIG "Code of Points" Skills
Floor Exercise
Thomas tuck and pike (Kurt Thomas) – One and a half back flips with one and a half twists, lands in a forward roll.
Thomas stretched (Kurt Thomas) – Thomas stretched.
Pommel Horse
Bryan (Casey Bryan) – Scissor half-turn to handstand, half-pirouette and straddle down.
Mikulak (Sam Mikulak) – Double scissor forward with a hop from one end of the horse to the other.
Roth (Bill Roth) – Listed in code as: Russian wende swing with 360 degree turn and 3/3 travel.
Thomas (Kurt Thomas) – All flairs.
Sohn (Mark Sohn) – Kehr with full turn on one pommel.
Still Rings
Bhavsar (Raj Bhavsar) – Pull through momentary front lever press to Maltese.
O’Neill (Paul O’Neil) – Stretched double feige backward to hang.
Whittenburg (Donnell Whittenburg) – Triple back pike dismount.
Parallel Bars
Gatson (Jason Gatson) – Swing backward with hop on one arm and full turn to handstand.
Gatson II (Jason Gatson) – Gatson with half-turn to handstand on one rail and a quarter-turn to handstand on two rails.
Malone (Brody Malone) – Side free hip handstand mount with a three-quarter Healy down.
Roethlisberger (John Roethlisberger) – High wende and salto bwd tuck or pike dismount.