There is plenty of evidence for God, spirits, and in fact MANY other paranormal phenomena and entities. Being that it IS paranormal, however, it is not always reproducible even in similar conditions, and even the stuff that IS will often be ignored by Atheists.
Yes, there ALSO is plenty of proof of the Big Bang. You can't observe it, however, only a series of mathematical models displaying what is quite likely to have happened. However, I've never once seen a Big Bang happen myself, yet I've had numerous paranormal experiences, a few of which psychic and confirmed by third parties.
The fact is: God, ghosts, spirits, and what-have-you all have a tremendous amount of experiential evidence, whereas things like the Big Bang have theoretical models depicting a likely event some time that cannot be observed.
In other words, there are three types of evidence:
1) Repeatable, pseudo-objective evidence (usually only near identical results occur on macroscopic levels)
EX: Things that occur in everyday life
2) Experiential evidence (Sometimes repeatable, but not always, events are a fundamental function of Quantum/Consciousness effects, and the result is that they may or may not be regularly demonstrable)
EX: Irregular/paranormal events, which occur to SOME and/or only SOMEtimes
3) Demonstrable Theories (Things that follow a logical course of deduction, due to an amount of known information, without actually demonstrating the event itself)
EX: What most of modern explanatory Science is based off of
Also, God has been proven Mathematically
http://www.megafoundation.org/CTMU/Articles/IntroCTMU.htmTelepathy has been proven experimentally:
https://www.youtube.com/watch?v=JnA8GUtXpXYAnd the Afterlife:
https://www.youtube.com/watch?v=6qSEi_sfaSUAnd Qi:
https://www.youtube.com/watch?v=2tb8bWbA678And Telekinesis:
https://www.youtube.com/watch?v=afkDRq8UHeEhttps://www.youtube.com/watch?v=IBNy-43naOMhttps://www.youtube.com/watch?v=LNctiOZPdO8