High Tide mk. III (Pauper)

Use Ponders and Preordains to look for pieces you don't have. Often you'd Merchant Scroll for High Tide, but you'd sometimes go for Snap if you have only a Cloud of Faeries in hand and multiple Tides. The first part of the combo can be accomplished in one of two ways:

High Tide + Archaeomancer + Cloud of Faeries + Ghostly Flicker = infinite mana
High Tide + High Tide + High Tide + Archaeomancer + Snap = infinite mana

Believe me, it's much easier than you'd think to assemble, since the deck runs so much card draw. With infinite mana, cast Merchant Scroll to search for Oona's Grace, turning dead draw lands into cantrips. To win the game with infinite mana:

Archaeomancer + Archaeomancer + Ghostly Flicker + Oona's Grace or Compulsive Research

Target the opponent with either draw spell, and with two Archaeomancers on the field Flicker both of them. First trigger brings back the draw spell, second brings back the Flicker. Repeat until the opponent runs out of cards.

Against control decks, you want to keep on your land drops. When convenient, end step Gigadrowse all of their lands and go off. Against decks with not much way to interact, an alternate wincon would be to generate infinite mana, Capsize all opposing permanents, and cast Ulamog's Crusher. Unless they have a way of dropping three permanents a turn or removing the Crusher, the game should be over in three turns.