both are easy to use but, 
there is no transparency with tkinter labels-images.

image on image using Canvas
#!/usr/bin/env python3
from tkinter import *
from PIL import Image, ImageTk
 
def game():
    root =  Tk()
    canvas = Canvas(root, height=450, width=450)
    canvas.grid()
 
    goban = PhotoImage( file = "images/goban.png" )
    stone = PhotoImage( file = "images/white.png" )
 
    goban_width = (goban.width()/2)
    goban_height = (goban.height()/2)
    canvas.create_image(goban_width,goban_height,image=goban)
    canvas.create_image(100,200,image=stone)
 
    root.mainloop()
game()

image on image using tkinter labels
#!/usr/bin/env python3
from tkinter import *
from PIL import Image, ImageTk
 
def game():
    root =  Tk()
    root.geometry("450x450")
 
    goban = PhotoImage( file = "images/goban.png" )
    stone = PhotoImage( file = "images/white.png" )
 
    label_go = Label(root, image=goban)
    label_go.place( x = 0, y = 0)
 
    white = Label(root, image = stone)
    white.place( x = 100, y = 200 )
 
    root.mainloop()
game()