Picking a numerical methods for solving stiff ODE systems with fixed time step.

Question

I am currently studying analytical and numerical methods and can't wrap my head around which methods to choose from. The methods that I have learned so far are:

1. Forward Euler
2. Backward Euler
3. Modified Euler
4. Trapezoidal method
5. Runk Katta schemes

If we were given an ODE system, which methods would I choose to obtain the most accurate solution with a fixed $∆t$?