You are not going to see much of England if you want to be within less than an hour from London. Remember that London is an enormous city and, depending on where you are staying, it could take you 20 minutes to get to a main line railway station before you even start your journey to "outside".
The road outside of the EMI recording studios is "Abbey Road", if you don't spell it properly you'll never find it on a map or GPS phone. It's rather boring anyway, just a road. Unless you want your photo taken on the zebra crossing (dodging the traffic) there is nothing special about it.
Big Ben is the huge bell inside the clock tower (called the Elizabeth Tower), it is NOT the clock. The clock is just called "the clock". Please don't be a typical lazy tourist and persisit in that mistake. You will NOT see Big Ben but you will certainly hear it! If you happen to pass the Houses of Parliament when it's dark look up at the top of the clock tower. If you see a white light lit then that means parliament is "sitting". They do this "overtime" sometimes.
From Westminster bridge you can take a boat trip on the River Thames (Note: we put the word "river" before the name in the UK). Look out for Cleopatra's Needle and, much further down, the Thames Barrier built to prevent the city being flooded.
Take time to go to Covent Garden and visit the craft market which now occupies what used to be a wholesale fruit and vegetable market. If it's not raining the buskers provide great entertainment.
Just outside London is Windsor Castle (direct trains from Waterloo to Windsor, or train from Paddington with a simple change at Slough). If you see the Royal Standard flying (not the Union Jack) on the castle it means the queen is in residence. The centre of Windsor itself is rather a shoddy little town - it is unreal, just a "chocolate box" caricature for tourists. PLEASE do not think that it represents anywhere else in the known universe outside of a Disneyfied character. But the castle is superb and genuine, well worth the admission fee.
From Waterloo you can also get a train to Kew Bridge and then visit the Royal Botanic Garden at Kew. This has the most amazing Victorian greenhouses and "tree canopy" walk. You'll love it.
Take a train from Waterloo East station (it's alongside Waterloo station) to Greenwich (pronounced "Grennich"). There you will see the last surviving tea clipper (Cutty Sark) and be able to visit the Royal Observatory where you will be able to straddle the "Prime Meridian" (Google it) and find the origin of Greenwich Mean Time (GMT). There is also a naval museum and exhibits about pirates.
Apart from that, there is nothing within your travelling time constraints.
If you are prepared to ride one of the Southern suburban commuter trains for an hour you can get down to Canterbury: ancient capital city, beautiful town, and the home of the global Anglican church.
I don't think the football stadiums are very interesting. Seen one. Seen them all. You could visit Windsor Castle which is a 40 to 50 minute trip on frequent trains from London Paddington or Victoria Stations. And, take a boat trip on the Thames from Westminster Pier. If you like plants and nature Kew Gardens is well worth a visit www.kew.org
www.royalcollection.org.uk
You have picked some weird things to do. Going to Abbey Road? That is the sort of thing crazy Japanese do. Big Ben? it is a clock on the end of the Houses of Parliament. When you have seen one football stadium you have seen them all. Scrap that lot and go and see some fun things instead.
How about a day at Warwick Castle?
https://www.warwick-castle.com/events/ev...
Warwick - pronounced worrick here in UK - not war wick.
https://www.youtube.com/results?search_q...
Buy a guide book and learn how to spell "etc."
