How about ludo on a smaller board like this:

xxxooaxss
xxxohoxxs
xxxohoxxx
oooohoooo
oxxxxxxxo
ooooioooo
xxxoioxxx
txxoioxxx
ttxbooxxx

where:
x: nothing
o: empty square
h: Home black
i: Home white
s: Start Black
t: Start white
a: Arrival space Black
b: Arrival space white

This one should be quicker than normal ludo (the race length is shorther and players have just 3 men).