You are absolutely correct, Alan. It used to be right by Cliff House. I think it was part of Playland at the Beach many, many years ago. However, a few years back they apparently went upscale and are in a sort of warehouse (last I visited with out of towers) on one of the piers on the Wharf.
Touristy things everybody does: Chinatown, Fishermans Wharf - San Francisco's tourist ghetto (in general - don't eat here overpriced and mediocre, although the restaurant at the Boudin Bread Bakery is good), ride the cable cars (the cable car museum is good for technology buffs). Walk across the Golden Gate bridge. Visit Alcatraz (make reservations ASAP).
Museums: Asian Art museum, the DeYoung (fine art), the Palace of the Legion of Honor (French art - featuring Rodin sculptures), SFMOMA (modern art). The California Academy of Sciences (science museum) and the Exploritorium (kid's science). If you're at all into Disney, the Disney Family Museum is great.
See Beach Blanket Babylon (a long running musical comedy revue - a local institution). Have an Italian dinner in North Beach. See a Giants game. Shop or dine at the Ferry Building Marketplace (foodie paradise - I recommend Hogg Island Oyster Company). Take the Golden Gate Ferry over to Sausalito.
Instead of Fisherman's Wharf, have dinner at Tadich Grill. Dating back to the gold rush, there's always a line. For a shorter wait, go to Sam's Grill on Bush at Belden. Same old timey vibe, but only dates back to 1867.
Visit the Japanese Tea Garden in Golden Gate park (near the DeYoung and the Academy of Sciences) - a jewel.
Don't call it Frisco (locals will wince or worse). If you're just visiting things in the city use public transportation (SF Muni) or Uber. It's a hard city to navigate and parking downtown will cost you a small fortune.
One more thing you can do to feel like a local. Laugh at the tourists wearing shorts and San Francisco sweatshirts because they thought it would be warm in "sunny California." The fog keeps the City cool, particularly in the evenings. Bring a jacket and wear Fall clothing (most days).
Yeah, that's what I'm talking about. Who has a memory like a toothpick? Not me!