Angel hair pasta is an appropriately named cut of thin and delicate strands. They are called "capelli d'angelo" in Italian.
For other types of pasta, see armoniche, bucatini, cannelloni, cannoli shells, cappelletti, conchiglie, farfalle, fedelini, fettuccine, fusilli, garganelli, gemelli, gnocchi, lasagne, linguine, macaroni, mezzelune, orecchiette, orzo, pappardelle, penne, radiatori, ravioli, rigatoni, ruote, spaghetti, tagliarini, tagliatelle, and tortellini.