It helps to gain a 30,000 ft view before zooming into all the details:

   Family                Spatial symmetry                 Example
   ------                ----------------                 -------
   Bessel                Cylindrical (r,θ,z)              circular drum, heatpipes, waveguides
   Legendre (Ordinary)   Axisymmetric Spherical (θ)       earth's bulge spinning on its axis
   Associated Legendre   Full 3D Angular Spherical (θ,ϕ)  spherical harmonics
   Laguerre              Radial Spherical (r)             radial pdf of electron in hydrogen atom