heres some easy to hard moves (In order of difficulty)
star jump
tuck jump
coupe walk
starddle
pike
forwards roll
forwards roll starddle
sholder stand
chest roll
split jump
handstand
backwards roll
handstand open legs
scissor handstand
push up to bridge
cartwheel
round-off
dive roll
handstand forwards roll
headstand
backbend
handstand to bridge
handspring to knees
handspring
one handed cartwheel
arm stand
arm stand over
one handed handspring
splits
forwards walkover
back extension roll
back walkover
Ariel/ arabian
front tuck
backwards handspring
back tuck
bararmi
scorpian
whip
layouts
double backs
double fronts
flairs
x-outs
Thomases
piked thomas
triple back
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Some beginner ones are: forward roll, cartwheel, backward roll, handstand, round-off, handstand forward roll, bridge kickover, backbend, walkover, straddle roll, one-handed cartwheel, and pike roll. Some intermediate/advanced ones are: back handspring, front handspring, front tuck, back tuck, aerial cartwheel, full, layout, one handed back handspring, Arabian double, round off back handspring, aerial back walkover, and aerial front walkover. These are just some of the many skills in gymnastics. Note: These are all floor exercise skills but I think all of them can be performed on the beam too.