This is a cube I made for fun, that contains exclusively cards that cost 1!
Yes. Every single card in this cube is a 1-drop. Even cards with in their cost are excluded. I made an exception for phyrexian mana, though (mostly because i wanted an excuse to play with Mental Misstep).
The caveat is that most of the cube is based around abilities and kicker-like mechanics, so you'd better consider the full cost of a card and how exactly do you want to use it!

The planned archetypes, so far, are:
: Fliers - Just play a lot of evasive creatures.
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: Heroic - Make your creatures more powerful using targeted spells or by giving them equipment or auras.
: Auras - Put a lot of Auras on your creatures and make them unstoppable.
: Mill - Fill either player's graveyard to the brim and win either by getting rid of your opponent's deck or by bringing back your creatures time and again.
: Spellslinger - Play creatures with instant/sorcery synergy and a bunch of spells.
: "Kicker" - Kicker is quoted because it's not just kicker; it's all kinds of abilities. Play dorks early and then play your creatures with additional costs, in the late game.
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: Recursion - Play the same cards over and over again, using graveyard recursion, and grind your opponent out.
: Stompy - Hit your opponent with aggressively costed creatures and pump spells.