Vegeta
In a nutshell
Vegeta is an aggressive rushdown character who excels at the midrange game. He has some of the best normals in the game as well as some very sneaky invincible specials to help him bypass his opponents' defensive pokes. Most of Vegetas attacks either move him up close to the opponent or nullify some form of attack, sometimes both. His aerial specials combined with his j.Y also give him a very tricky midscreen crossup game. His fast hop speed and strong guard counter options round off his defense, making Vegeta an overall beastly up-close character. Good choice for players who want to get straight up in the opponent's grill and hit some buttons.
Moves List
Normal Moves
Close st.Y - Vegeta headbutts his opponent. Generally not used outside of specific combo routes due to the extra pushback on hit compared to close st.B, as well as being 2 frames slower.
Close st.B - A knee to the chest. Fast and reliable bread and butter combo filler, use this move to hitconfirm into launcher and other combo routes.
Far st.Y - Standard punch straight forward, nothing fancy. Not very useful considering you have a far standing normal that's better in every single way in the form of far st.B.
Far st.B - Flying, forward moving roundhouse kick. This move is the king of midrange. Fast, long range, active for days, propels Vegeta forward and if cancelled into launcher, is plus on block. Very dominant far normal and a big part of Vegeta's footsie game. When in doubt, use this.
cr.Y - Underarm punch to the kneecaps. Vegeta's only low. Normal cancellable but not special cancellable. This isn't Vegeta's best option for mixups as it is quite hard to confirm any real damage off of, but it has its uses given the right spacing. Not the best low we could hope for, but better than nothing.
cr.B - Double hitting, upwards angled handstand kick. Special cancellable but not normal cancellable. This move lowers Vegeta's hurtbox a little making it a viable anti-air, but it's also useful for very specific combos should you choose to go for them. Very situational.
j.Y - Vegeta comes down with a punch directly below him. Amazing crossup normal. The speed and hitbox on this move allows Vegeta to dominate air-to-ground engagements. Special cancellable as well, meaning you can cross up with this attack then cancel into an air normal which may or may not also cross up, depending on spacing. 10/10 would punch again.
j.B - Flying horizontal kick. Vegeta's other incredibly good air normal; the range and active frames on this thing make it a very strong, all-purpose aerial attack. Opt for this over j.Y at further ranges.
Special Moves
Sliding Kick - 
B - Vegeta dashes forward a bit before releasing a sliding kick