There's a lot of them [1], but here are my favorites:

ARGUMENT FROM SCIENTISTS
(1) Some famous scientists believed in God.
(2) Therefore, God exists.

ARGUMENT FROM QUANTUM PHYSICS
(1) Quantum physics uses an uncertainty principle.
(2) There is room for God.
(3) Therefore, God exists.

ARGUMENT FROM WOW
(1) "When I look into the sky and see all the pretty stars, all those galaxies..."
(2) Wow.
(3) Therefore, God exists.

ARGUMENT FROM CHRISTIAN EXPERTS ARE IGNORED
(1) Dembski, Behe and Plantinga are ignored by mainstream intellectuals.
(2) Only a fear of the truth could explain this.
(3) Therefore, God exists.

ARGUMENT FROM CHRISTIAN EXPERTS ARE NOT IGNORED
(1) Mainstream intellectuals are paying some attention to Dembski, Behe and Plantinga.
(2) Only a growing recognition of the truth could explain this.
(3) Therefore, God exists.

ARGUMENT FROM ECSTASY (used by a number of saints)
(1) I woke up last night with a feeling of indescribable pleasure and joy.
(2) It couldn't have been sexual; I'm holy and never have thoughts like those.
(3) So the ecstasy must have come from God.
(4) Therefore, God exists.

ARGUMENT FROM THE BIBLE (II)
(1) The Bible says the Bible is true.
(2) Therefore the Bible is true.
(3) The Bible says God exists.
(4) Therefore, God exist.

ARGUMENT FROM LOGIC
(1) There are some things in logic that you can't logically demonstrate.
(2) Therefore you have to take them on faith.
(3) Your faith in logic is the same as my faith in God.
(4) Therefore, God exists.

ARGUMENT FROM UNTRANSLATED OLD FRENCH
(1) « Mais pourceque j'avois déjà connu en moi très clairement que la nature intelligente est distincte de la corporelle; considérant que toute composition témoigne de la dépendance, et que la dépendance est manifestement un défaut, je jugeois de là que ce ne pouvoit être une perfection en Dieu d'être composé de ces deux natures, et que par conséquent il ne l'étoit pas; mais que s'il y avoit quelques corps dans le monde, ou bien quelques intelligences ou autres natures qui ne fussent point toutes parfaites, leur être devoit dépendre de sa puissance, en telle sorte quelles ne pouvoient subsister sans lui un seul moment. -- René Descartes, Discours de la Méthode
(2) How could you possibly refute that?
(3) Therefore, God exists.

ARGUMENT FROM BANANAS
(1) Bananas have many characteristics that make them attractive as primate food.
(2) They're so good that they must have been designed.
(3) Therefore, God exists.

ARGUMENT FROM HAULING ASS
(1) [Theist creates message board account and logs in.]
(2) "GOD IS REEL AND ALL YOU HEATHEN ATHEIST INFEDILS WILL BERN IN HELL FORE-EVER MARK MY WERDS!!!!!!!!@#3FD"
(3) [Theist logs off and never returns.]
(4) Therefore, God exists.

ARGUMENT FROM COLTRANE
(1) John Coltrane's "A Love Supreme" is dedicated to God.
(2) John Coltrane's "A Love Supreme" is full of passion.
(3) Atheists cannot explain Coltrane's passion in "A Love Supreme."
(4) Therefore, God exists.

ARGUMENT FROM RELIGIOUS DIVERSITY
(1) Atheists think that the difference in religions disproves God's existence.
(2) Eh, To-may-to, to-mah-to.
(3) Everyone knows that you must accept Jesus Christ in order to be saved.
(4) Well, everyone who matters, anyway.
(5) Therefore, God exists.

ARGUMENT FROM IT'S MY BALL AND YOU CAN'T PLAY
(1) There is abundant logical and empirical evidence that God does not exist.
(2) There is no evidence that God does exist.
(3) But God plays by completely different rules.
(4) Therefore, God exists.

ARGUMENT FROM POST-DEATH EXPERIENCE
(1) Person X died an Atheist.
(2) He now realizes his mistake.
(3) Therefore, God exists.

ARGUMENT FROM MASS PRODUCTION
(1) Barbie dolls were created.
(2) If Barbie dolls were created, then so were trees.
(3) Therefore, God exists.

ARGUMENT FROM GUITAR MASTERY
(1) Eric Clapton is God.
(2) Therefore, God exists.

ARGUMENT FROM INTELLIGENCE
(1) Look, there's really no point in me trying to explain the whole thing to you stupid Atheists -- it's too complicated for you to understand. God exists whether you like it or not.
(2) Therefore, God exists.

ARGUMENT FROM UNINTELLIGENCE
(1) Okay, I don't pretend to be as intelligent as you guys -- you're obviously very well read. But I read the Bible, and nothing you say can convince me that God does not exist. I feel him in my heart, and you can feel him too, if you'll just ask him into your life. "For God so loved the world that he sent his only begotten son into the world, that whosoever believes in him shall not perish from the earth." John 3:16.
(2) Therefore, God exists.

ARGUMENT FROM EXHAUSTION (abridged)
1. Do you agree with the utterly trivial proposition X?
2. Atheist: of course.
3. How about the slightly modified proposition X'?
4. Atheist: Um, no, not really.
5. Good. Since we agree, how about Y? Is that true?
6. Atheist: No! And I didn't agree with X'!
7. With the truths of these clearly established, surely you agree that Z is true as well?
8. Atheist: No. So far I have only agreed with X! Where is this going, anyway?
9. I'm glad we all agree.....
....
37. So now we have used propositions X, X', Y, Y', Z, Z', P, P', Q and Q' to arrive at the obviously valid point R. Agreed?
38. Atheist: Like I said, so far I've only agreed with X. Where is this going?
....
81. So we now conclude from this that propositions L'', L''' and J'' are true. Agreed?
82. I HAVEN'T AGREED WITH ANYTHING YOU'VE SAID SINCE X! WHERE IS THIS GOING!?
....
177. ...and it follows that proposition HRV, SHQ'' and BTU' are all obviously valid. Agreed?
178. [Atheist either faints from overwork or leaves in disgust.]
179. Therefore, God exists.

What's really funny is that I have read all of this at one time or another, and more, in my life. But the entirety of the page summarizes into this:

ARGUMENT FROM ASSUMPTION
(1) God exists.
(2) Therefore, God exists.

Which is why I, personally, prefer to stay away from purely philosophical arguments on this subject. Which is usually why when I do talk about this subject, more often than not, it involves science as well.