We cannot think of anything greater than God, therefore he must exsist.
The universe must have come from somewere therefore God is the first cause
The world shows that it has been designed- and so must of been designed by some-one
The Theory of intelligent design by William Paley using the example of the watch , life is so complex that it must of been designed by a higher intelligent being
Argument from experience - e.g. through miracles, answered prayers or the numinous
Moral Argument - the basic understanding of write and wrong , good and bad must of come from God ( see conscience)
God must exist because he cannot not exist - Thomas Aquinas