I figured that Standard self-mill is entirely reliant on Mirror-Mad Phantasm. Although Playing Mirror-Mad Phantasm's ability is fun and very interesting, It can only be done after turn 5 (unless you had some ramp).
Therefore, after reading a comment on The Gatherer, I figured a cheap and easy way to win with Lab Maniac by turn 3.
That is entirely dependent if I have the right cards in my hand, though. Chances, I'll win by turn 5 most of the time.
The idea is this:
Turn 1 - Play Shuko
Turn 2 - Play Cephalid Illusionist
Turn 3 - Play Laboratory Maniac, and then continuously equip Shuko to Laboratory Maniac and then Cephalid Illusionist. Every time Shuko gets equipped to Cephalid Illusionist, you mill 3 cards. Do this until you have no more cards in your deck. Play Gitaxian Probe if you have one, or if not, wait until your next draw phase.
You may want to wait until turn 4 to do this instead of turn 3, just in case your opponent plays something to counter Laboratory Maniac (Disrupt is a good card to have in your hand as well).
EDIT - May 5th - I've been playing this deck, and it's been moderately successful. I do not win frequently against my friend who plays a Modern Token deck, a Legacy Affinity deck, and a Modern Storm deck, but when it comes to my other friends with Ramp, Stasis, and Spirit decks, I win almost 90% of the time.
The reason is that whenever I've won against my better friend, it's because the deck has gone off on turn 3-4 and he doesn't have any removal in his hand. My other friends have little removal, so therefore, I can still win by turn 6 without anything dying or whatnot.
On that note, I've added 4 Lightning Greaves, for it adds protection for my creatures. I've taken out 4 Thought Scour's, because every time I played it, I milled either Shuko, Chephalid Illusionist, or Laboratory Maniac.
EDIT - May 23rd - After a very helpful person (slave) gave me some suggestions, I took most of them to heed and reconstructed this deck.
Drift of Phantasms and Muddle the Mixture were added primarily for Transmute (muddle is also a better spell counter than counterspell in this case, since Laboratory Maniac usually dies to instant's/sorcery's); Brainstorm and Opt, replaced Ponder and Preordain because of instant speed; Street Wraith, Halimar Depths, and Daze were added because they are (nearly) free spells.