pysize.py

import sys

def get_size(obj, seen=None):
    """Recursively finds size of objects"""
    size = sys.getsizeof(obj)
    if seen is None:
        seen = set()
    obj_id = id(obj)
    if obj_id in seen:
        return 0
    # Important mark as seen *before* entering recursion to gracefully handle
    # self-referential objects
    seen.add(obj_id)
    if isinstance(obj, dict):
        size += sum([get_size(v, seen) for v in obj.values()])
        size += sum([get_size(k, seen) for k in obj.keys()])
    elif hasattr(obj, '__dict__'):
        size += get_size(obj.__dict__, seen)
    elif hasattr(obj, '__iter__') and not isinstance(obj, (str, bytes, bytearray)):
        size += sum([get_size(i, seen) for i in obj])
    return size

I implemented a truly generic solution here.
It uses the gc module instead of trying to guess the object children and avoid using recursive calls.
You can simply install it via pip if you want: pip install objsize.

There is python module that provides similar functionality and other things as well such as tracking the memory consumption of the instances of a specific class, etc. called Pympler.
https://pympler.readthedocs.io/en/latest/