Can a Vigilance creature attack and block in the same turn?

Yes. Because it stays untapped after attacking, it can block during your opponent's next turn, and an untapped creature can always be declared as a blocker.

Does Vigilance let a creature use tap abilities after attacking?

Yes. Since the creature remains untapped when it attacks, you can still pay a tap cost for one of its activated abilities afterward.

What is the best Vigilance card?

By popularity, Vigilance is among the most-played Vigilance cards — see the full ranked list above.

Best Vigilance cards in MTG

Vigilance: A creature with Vigilance does not tap when it attacks.

Vigilance lets you attack and still keep a blocker back, removing the usual risk of swinging in. It is excellent on creatures with tap abilities, since they can attack and still use their ability, and on commanders or large threats that need to defend. Aggressive decks love Vigilance because it lets them apply pressure without leaving themselves open to a counterattack.

FAQ

Can a Vigilance creature attack and block in the same turn?: Yes. Because it stays untapped after attacking, it can block during your opponent's next turn, and an untapped creature can always be declared as a blocker.
Does Vigilance let a creature use tap abilities after attacking?: Yes. Since the creature remains untapped when it attacks, you can still pay a tap cost for one of its activated abilities afterward.
What is the best Vigilance card?: By popularity, Vigilance is among the most-played Vigilance cards — see the full ranked list above.