I know this is a common problem with them! In short, my RX8 was parked in the wrong place - started, moved and stopped. This was all that was needed to do in order for it to not start.
I followed the (one of the) de-flood procedure:
* Pulled Fuel pump fuse
* Started for 10 seconds
* waited for a minute
* Started for 10 seconds
After the 2nd set of 10 seconds I could tell it was dry. No firing at all.
* Plugged fuse back in
* Start car normally - ALMOST

It grabs the fuels, tries to start and almost does.

I repeated this process a few times UNTIL:
Now.. The car does not act like it's getting fuel at all. Even with the fuse in. Completely dry, no sputter, nada.

I'm so frustrated with this thing. Trying to get it started for 2 days now. I'm going to take the rear passenger seat and expose the fuel pump - but I don't know how to tell if it's getting power - or even if it has failed at this point.

Any additional advice?

 

I had problems with weak batteries causing flooding.
If they're not 100%, it could flood.
In my experience, a battery lasts about 3 years.

 

Also, when you get it to sputter like it wants to start, you're almost there.

That's when I start playing with the throttle cut off, holding the pedal all the way down until it sputters, then let it up.

It took me a while to get the hang of it.
Driving with a dying engine leads to a lot of flooding.

 

Unfortunately, it's no longer sputtering - that's my issue now.

 

You want to have the fuse in and press the gas fully while cranking to cut fuel, then after a few tries lift your foot slowly while cranking to start feeding fuel and modulate to help it start. You can pull the plugs to dry them off. Pulling the fuse is an unhelpful shortcut and deflooding always takes longer than you think. Keep at it. I wouldn't mess with the fuel pump.
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Try another battery or power-pack to see.
If you're battery is more than a few years old, or you don't know how old it is, you could try a new one.
I had to insist on a new battery once when the parts store checked it and told me it was good.

I had this happen 3 or 4 times with weak batteries.

After years of trial & error, I can tell by how it turns over if the battery is strong enough.

If it can't turn fast enough, you won't get combustion, and you're literally flooding the chamber with unburned fuel.

Another option is to pull the plugs and see if the plugs are wet, then turn it over to see if fuel comes out.