do the type rating on the great old Antonov 2
Under JAA/EASA rules you can fly the AN-2 on your SEP class rating, as its MTOW is < 5700 kg. No type rating required
AFAIK. You do need a tailwheel endorsement though (and permission from the operator, and from the insurance, and need big pockets to pay for the fuel, and so on...)
and there are basically none left.
Plenty for sale on, e.g., planecheck. Quite cheap to acquire even (but I don't want to think about the fuel and maintenance costs).