My circuit requires 0.02Ω non inductive resistor.
So after going through my junk I found two 0.01Ω white 5W power R's. Those flat rectangular vertical ones
I dunno if those are non inductive types.
I hooked it up to the inductance meter and it shows 0.00μH.
Is it safe to assume that these are none-inductive?
Are they also refereed as Power Oxide types?

I hooked up a 1Ω 0.25Wmetal film one and it shows 0.12μH.
Are metal film Resistors Inductive ?

 

So after going through my junk I found two 0.01Ω white 5W power R's. Those flat rectangular vertical ones
I dunno if those are non inductive types.

Sounds like you're describing a cermet power resistor. They're non-inductive.

I hooked up a 1Ω 0.25Wmetal film one and it shows 0.12μH.
Are metal film Resistors Inductive ?

Yes. The metal film is wrapped (actually most likely sputtered) spirally around a ceramic core.

 

I would say that if the inductor reads 0.00μH on your LC meter, that the resistor is non-inductive.