I have yet to find anyone able to describe a god in any way remotely superior to mankind and more tellingly as anything other than physical - I will deal with both seperately below.
All gods described by human language, poetry, art, religious writing, thought and all other communication (i.e. the mind is the ONLY place where gods are described since the environment does not bear any recognised signature or message from of any deity) can easily be superceded by another thought process (Zeus loses to Xenu) and be outwitted by logical and rational enquiry (Christ loses to Gervais).
It does not take me long to dismiss the standards of OT bible god who happily allows murder (Jericho), causes genocide (flood), accepts slavery, encourages animal sacrifice and shows very human passions such as jealousy and anger. There are plenty of times when I (a rather unremarkable specimen and very average human) show far higher levels of moral reasoning and action. This is repeatable for all gods who by their lack of interaction with the world make no case for either their existence orteh possession of powers bestowed upon them by their believers. We have plenty of xians on this board absolutely convined their Christ can heal amputees despite there being no evidence of this ever occurring (in short they are making up a quality of their idol which is not suggested by reality.) Despite obvious evidence to the contrary they will continue to speak in universal terms ('if you just pray right and accept him he will answer you'). They at once make their god answer to their commands (how dare they make promises on behalf of this super being) and then use sophistry to ignore the failure of their god to make good on promises they made up for them. In short the only evidence for each and every god is the communication of very unreliable individuals most suffering demonstrable brainwashing,occassional illness and/or lack of critical thinking skills.
The old physical evidences for supernatural beings (lightning for example) have been found to be purely physical processes with no hint of supernatural direction or will. There are plenty of questions for which we do not have physical explanations for yet but so far we have been able to retire many previously impressive proofs of supernatural activity by simple natural laws (including proofs attributed to the Christian God such as the rainbow.) All things currently attributed to gods seem very trivial now as each gap closes (for example positing that god is the source of emotions such as love is rather childish and shows a complete lack of understanding behind the physiology, biology and chemistry that underpin emotional states.) Gods have been shown to have no influence over the weather (we never see a raincloud raining purely upon the head of one person as per movie cliche for example), the position of the sun (we can track its unerring position over millions of years and its relationship with its planets), plant life (crops grow according to well understood cycles, genetics, insect influences and nutrient availabilities) , the hydrological cycle(clearly prayer is no more able to evaporate water in one area and move it to another than Indian rain dances) and so on. The likelihood of a currently unexplained phenomenon requiring a divine causitive effect is diminishing with every discovery and is not predicted by any scientific model.
Science has no case to answer because the faithful are unable to make a case. Philosophy and discussion yes but nothing beyond this; no mountain, no storm, no child, no star is currently best explained by some invisible being.