Guess I probably wont get a chance to fly on one, flying on the 747 was on my bucket list.
Somehow I only managed to end up on one of these gorgeous birds once. In seat 64K, NRT-DTW (or was it NRT-MSP?). The main cabin is... nothing to write home about. I was in no hurry to book another 744 leg. Upper deck, perhaps a different story.
Great seat number though.
Back in the olden days (2015-ish?) KLM was having a really, really cheap business fare sale JFK-AMS; I snagged it with Delta miles (if I recall correctly) - and flew there and back in their 747 in the upper deck (just to take the flight; didn't have anything to do in AMS). It was really quite nice; it was the first and apparently last time I've taken the 744. I'm really glad I was able to do it.
If it's something you want to do, this is your call to action. (There have been several already)
There's still a few of these in passenger service, so you can easily get it done if it's important to you.
Otherwise, you'll need to figure out how to get on a cargo flight.
They are beautiful things, but the last few I rode on with BA were absolutely starting to show their age inside prior to BA retiring them in 2020. I think the last passenger models were produced in 2011 and most of BA's 747 fleet was from the mid-90s. The experience was probably better on other carriers towards the end.
If this is truly on your bucket list, you should be able to pull it off.
I just asked my favorite stochastic parrot to find the cheapest flight from SFO on a 747 to anywhere. It found a one-way flight on Lufthansa for $500. If you can, I'd encourage you to spring for a business class flight on the top deck (probably $4000 one-way).
Flying on one in August, upper deck, courtesy of a lowball points redemption through United.
Lufthansa still has a number of 747-8 and 747-400 in active operation - while there's evidence that the routes are scaling back, there's at least a few more years to fly one. They're even refurbishing the interiors to have a more competitive long-haul business class offering.
Korean Airlines has a handful of 747-8 in active operation but they're making moves to retire them especially post Asiana merger.
Air China also operates a handful of 747-8 and 747-400 on both international and domestic routes.
FlightsFrom is a great resource to find routes for specific aircraft: https://www.flightsfrom.com/explorer/FRA?aircrafts=747 https://www.flightsfrom.com/explorer/ICN?aircrafts=747