OK, let’s start with the Pantages Theater. I presume you are staying in one of the Hollywood Hotels in the area, on or near Hollywood and Highland. That is a great tourist location, with lots of things to see and do in the area.
Within walking distance, you have the Hollywood Walk of Fame (aka Stars on the sidewalks), The TCL Chinese Theater with the famous hand/foot prints, the Hollywood and Highland Shoppertainment Mall with a good view of the famous Hollywood sign, The El Capitan Theater that Disney owns and has the
Disney Store and Ghirardelli Soda Fountain.
Now, for the paid attractions, you have Madame Tusssurd’s Wax Museum, the Hollywood Museum, Guinness Book of World Records, Ripley’s Believe it or Not! and the Hollywood Wax Museum. The TCL Chinese Theater and Dolby Theater offer tours most days. Also at Hollywood and Highland, you have Starline Tours, where you can catch the famous Tour of Movie Star Homes.
https://www.starlinetours.com/los-angeles-tours.asp
The nearest Studio Tour is Paramount, a bit of a walk, but doable, I would head down Vine Street to Melrose, and head east to the studio.
http://www.paramountstudiotour.com/
The LA Metro Red Line is right there, and Universal Studios Hollywood is right next to Universal/Studio City Station, which is only one stop north of the Hollywood and Highland Station.
The Red Line also can take you to Downtown LA, Olvera Street, Phillippe’s, home of the French Dip and more.
Or you could opt to transfer to the Expo line, which will take you to California Science Center (home of the Space Shuttle Endeavor) also with the National History Museum and USC (all the same stop), also heads to Culver City (Sony Studio Tour) and even now the Santa Monica Pier.
The Blue Line will take you to Long Beach, the Aquarium of the Pacific and the Queen Mary. (And Long Beach offers free tourist bus shuttles)
So plenty to see and do up there.
Now, if you want to visit the Disneyland area, I would take the LA Metro Red Line to Downtown LA (Union Station), and then catch either the Metrolink Train or Amtrak. The big differences, Metrolink is a commuter service and has limited operating hours. Amtrak is designed for both the commuter and the tourist. Amtrak has the later trains running at night, and also has a café car to grab a bite to eat, and even a premium seating area. Amtrak is the more expensive of the two. I would get off at the Fullerton Station, and then catch the OCTA public bus, Route 543 is the preferred bus when running as it is a limited stop bus that runs up and down Harbor Blvd. Route 43 follows the same route, but has more stops, and has evening service, Stops right next to the main Disneyland Pedestrian Entrance. (Yes, IMHO, it is easier to get to Disneyland from the Fullerton Station as compared to Anaheim (ARTIC) station. ARTIC is way overbuilt and a long walk from the train platform to the pickup areas for buses, ART, taxis and Uber/Lyft. Plus the only single bus option is ART Route 15, which is only every 30 minutes with multiple stops. The Fullerton Station, which is a great historic station, is the same basic distance to the DLR as ARTIC, the bus stop and taxi stand are close by, and the OCTA 543/43 runs frequently and Disneyland is straight down Harbor (Direct line). Also a little less time on the train. (More time at the DLR).
The drawback is the timing, especially on the way back (last train leaves Fullerton at 11:15 PM).
So maybe a one-day trip, and then just opt for a Disneyland Park only ticket, since there is so much more than a day’s worth of things to see and do. This require the long commute of about 2+ hours in each direction only once.
Some things to think about.
