I've seen Pauper EDH handled in one of two ways: either your general can be any uncommon creature, or your general has to be one of the common/uncommon legendary creatures. A quick Gatherer search revealed that the latter was unappealing, so I'm going with the former because I can run one of my favorite creatures as a general.

General: Gelectrode

Card Selection:
1 Fathom Seer
1 Merfolk Looter
1 Omenspeaker
1 Sea Gate Oracle
1 Mulldrifter
1 Prescient Chimera

1 Brainstorm
1 Faithless Looting
1 Ponder
1 Preordain
1 Think Twice
1 Compulsive Research
1 Deep Analysis
1 Gush

Removal:
1 Waterfront Bouncer
1 AEther Adept
1 Bogardan Firefiend
1 Crackling Triton
1 Man-o'-War
1 Mist Raven
1 Steamcore Weird
1 Pitchburn Devils
1 AEthersnipe

1 Flame Jab
1 Flame Slash
1 Repeal
1 Skred
1 Echoing Truth
1 Into the Roil
1 Jilt
1 Arc Lightning
1 Capsize
1 Staggershock
1 Chandra's Outrage

Counters:
1 Condescend
1 Arcane Denial
1 Counterspell
1 Memory Lapse
1 Exclude
1 Rewind

Finishers:
1 Halimar Wavewatch
1 Infiltrator il-Kor
1 Nivix Cyclops
1 Wee Dragonauts
1 Spire Golem
1 Errant Ephemeron

1 Rolling Thunder

Durdles, Shenanigans, and Other:
1 Frostburn Weird
1 Goblin Electromancer
1 Mogg War Marshal
1 Drift of Phantasms
1 Pestermite
1 Archaeomancer
1 Izzet Chronarch
1 Mnemonic Wall

1 Diminish
1 Mind Games
1 Ghostly Flicker

Mana:
1 Wayfarer's Bauble
1 Armillary Sphere
1 Izzet Signet
1 Mind Stone
1 Izzet Cluestone
1 Izzet Guildgate
1 Izzet Boilerworks
1 Terramorphic Expanse
1 Evolving Wilds
1 Rupture Spire
1 Transguild Promenade
1 Command Tower
1 Remote Isle
1 Lonely Sandbar
1 Forgotten Cave
1 Smoldering Crater
14 Snow-Covered Island
11 Snow-Covered Mountain

I briefly considered taking a more aggro/tempo-oriented route, but that deck is probably better off with another general, perhaps Nivix Guildmage, Minotaur Illusionist, or Shrewd Hatchling. I wanted this to be a more controlling deck, and I wanted it to star Gelectrode because I love me some Gelectrode. The result is a deck that uses Gelectrode to get extra value off of one-for-one removal spells while beating down with some brawly dudes or recurring Rolling Thunder to burn people out.