Diablo – the range of the Wizard’s Disintegrate spell in yards

Here's the comprehensive list based of Blizzard's skill calculator and this list of affixes. No base skills increase Arcane Power regeneration, but many skills have a rune that does so. I've only listed those affecting regeneration, as per your question. Many more runes, etc, reduce the Arcane Power cost of the skills or increase the maximum Arcane Power the Wizard can have:

1. Active skills:

   • Magic Missile (Attunement) - Whenever Magic Missile hits a target you gain 4 Arcane Power.
   • Shock Pulse (Lightning Affinity) - Every target hit by a pulse restores 2 Arcane Power.
   • Spectral Blade (Siphoning Blade) - Every enemy hit grants 1 Arcane Power.
   • Electrocute (Surge of Power) - Gain 1 Arcane Power for every enemy hit by Electrocute.
   • Arcane Torrent (Power Stone) - Every missile hit has a 2% chance to leave behind a Power Stone that grants Arcane Power when picked up.
   • Magic Weapon (Conduit) - Attacks have a chance to restore 1 Arcane Power.
   • Familiar (Arcanot) - While the Familiar is active, you regenerate 2 Arcane Power per second.
   • Energy Armor (Absorption) - You have a chance to gain 4 Arcane Power whenever you are hit by a ranged or melee attack.

    

2. Passive skills:

   • Power Hungry - Gain 30 Arcane Power whenever you are healed by a health globe.
   • Astral Presence - Increases your maximum Arcane Power by 20 and Arcane Power regeneration by 2 per second.
   • Prodigy - When you deal damage with a Signature Spell (Magic Missile, Shock Pulse, Spectral Blade, Electrocute), you gain 4 Arcane Power.

    

3. Item affixes:

   • Foreboding / Ominous on Orb or Wand or Wizard Hat - +Arcane Power on Crit

Yes, that is the basic weapon attack. When you start out a level 1 character, it's the skill that is on right mouse button. With wands it's a small projectile, with swords you would run up to the monster and slash it.

You can also set this skill if you are in elective mode, and assign a skill to a hotkey when it is already assigned. For instance, if you have Magic Missle assigned to left mouse, and decide to remap it to right mouse, you will get the default weapon attack set to your left mouse button.