These discussions tend to drift all over the place Step Turn.
There are a few mistakes that pilots make before take off that can cause the engine to fail right after take off.
Failure to select a tank with fuel in it.
Carb ice
Water in the fuel.
The other killer is taking off with control locks on / engaged.
These discussions are interesting and there are a lot of things that are useful to remember, however flying light single engine airplanes safely is well within the ability of the average person in our society.
Sometimes over thinking these things is just as bad as not thinking.