Well, the wad cutters are still in use today, they are a preferred bullet for certain hand gun match shooting because they cut a very nice (clean) hole in the paper. Now, I say still in use, but most likely they would cast bullets bought in bulk for hand loading and probably not just found at our local Wal-Mart. Now, your right that in the earlier 1900's many police departments preferred the wad-cutter round, it had reduced penetration with a good bit of knock down power. I myself cast what is called semi wad-cutters, I have a friend who use to match shoot and he cast and shot full wad cutters.
As far as the other bullets are concerned and just looking at the pictures they look pretty much like a lot of modern (currently in use) bullets.
Now the one bullet in the picture by itself looks pretty much like what is often times call a "Hard Ball" round. These are common in round such as,
9mm,
380.
45 ACP
All that the hard ball term means is its a rounded nose and is a fully copper jacketed bullet (FMJ) (lead core) now the base is most likely open somewhat to access the lead core.
These are most commonly used in semi automatic pistols.
Mark