Acceleration Issue.. Only when warm?

The O2 sensors have a heating element in them.
P0037 is in reference to that part.

I would attach the rear again at some point, but for now just have it connected (it will throw another code though) .

Actually that may solve the P0037. The googles says it's a bank 2 sensor heater, which is the rear. So I agree your crank sensor is next if that's a concern. (I'm not sure where crank came from - those codes come up as knock sensors for me)

Make sure you clear the codes after plugging it back in. If you don't have a scanner, just pull the negative battery terminal for 10 seconds. Then go for a drive.

 

Is denso oem for 2nd gen Tacoma? I want to remove and replace both of my o2 sensors on my 2011 2.7 taco.

 

I would think so but to be honest I have no real knowledge a 2nd gens. Sorry.