There is a neat little shop diagonally across from tv's Pawn Shop, as well as the ones in the Art District that pj mentioned.
There is a indoor Antique Mall on South Las Vegas Blvd,before you get to South Point. It's huge, with many different vendors, but it's more flea market tha true antiques. Last week, one vendor had a nice selection of 1960s tin toys from Japan at decent prices while another had five year old Hot Wheels at truly insane prices, easily five times market value.
There used to be a shop that specialized in old gambling memorabilia inside Neonopolis. I'm not sure if it is still there.
Antiques is such a vague term, if you could be a bit more specific, it would help.
There is a massive swap meet on weekends up near Las Vegas Blvd by Nellis. Some new stuff but lots of old interesting stuff.