The user can release and surround themselves in/with electricity for defensive and/or offensive purposes, possibly becoming almost untouchable and granting them various abilities/attacks. The auras may also give the user enhanced physical capabilities such as speed, strength and durability.
Vortex (Danny Phantom) surrounded by an aura of electricity.
Lightning Lad (DC Comics) surrounding himself with electricity.
The Flash (DC Comics) surrounded with an electrical aura.
Jefferson Pierce/Black Lightning (DC Comics)
Static (DCAU) surrounding himself in electric.
Nappa (Dragon Ball Z) using Lightning Aura to infuse his body with electricity, greatly enhancing his strength, speed, and techniques
Son Gohan (Dragon Ball series), like most ascended Saiyans, can produce an electrical aura around them whenever they transform into a Super Saiyan 2 or higher.
Electro (Marvel Comics) enveloping himself in an electrical aura.
Surge (Marvel Comics) coating herself in an aura of electricity.
Johnny Ohm (Marvel: Rise of the Imperfect)
Killua Zoldyck (Hunter X Hunter) can efficiently change his Nen aura into electricity. As such he developed a special technique - Godspeed, in which he can enhance his speed and reflexes to godly levels.
The Third Raikage (Naruto) created the Lightning Release Armor technique, which drastically increased his reaction time and speed...
...which he taught to his son, A the Fourth Raikage.
Laxus Dreyar (Fairy Tail) surrounds himself in the electrical energy thanks to his Lightning Dragon Slayer Magic.
Pepe (SNK) can surround himself with lightning energy.
Sandra (Los Protegidos)
Pikachu (Pokémon) surrounding itself in an electric aura.
Electivire (Pokémon) surrounded in an aura of electricity after its Motor Drive ability is activated.
Metal Sonic (Sonic the Hedgehog) surrounds himself with an electrical aura that can penetrate virtually any substance using the V. Maximum Overdrive Attack.