Recommendations sought for a weekend in London

We went recently. We took in a show (Jersey Boys). Our hotel was within walking distance of most of the sites so we walked everywhere. I had bought DH tickets for Shakespeare's Globe Theatre and we did that one afternoon. It was fascinating and not too expensive, you get a guided tour. Fascinating to see this little thatched building in the middle of all the modern ones. The Globe is on Bankside not far from St Paul's so you can see that as well.

We've stayed twice now at the Travelodge on Drury Lane and intend to stay there again on the next trip. Easy reach of both Covent Garden and Holborn undergrounds. First evening we take the tube from Holborn to St Paul's and then walk over the Millennium Bridge towards the Globe. Good views along the river as it starts to get dark.
If you're looking for a foodie treat, try booking one of the top restaurants at a lunch time. We had a fabulous meal at Gordon Ramsey's Petrus, which we'd never have been able to afford in the evening.
Years ago my impression of London was just one of a rather grubby city, but since the Olympics and Jubilee celebrations, it's really smartened itself up. We've been doing a four night stay each year in January and I'm using the DK Eyewitness Guide to start planning the next one. Loads of information set out clearly with lots of mini maps and photos.
Have a wonderful trip.

Harvey Nicks do a pretty good tea (with the option of a glass of Champagne) on their rooftop terrace.

The globe has a nice restaurant with views over the river

We had a couple of nights recently at The Britannia Hotel Canary Wharf

It is cheaper than central London, but the journey there on the Jubilee Line extension is interesting in itself. It doesn't take long to get to central London if that's what you want to do, but we spent the day in Greenwich and really enjoyed it.

We found Churchill's War rooms by accident,it's near Horseguards Parade.Really interesting place to visit,especially if you enjoy history.

Thanks everyone for your great suggestions.Caught up with my friend today... she was in London the weekend of Aug. 8th which from here looked as if she was getting biblical rain, but apparently not. She and her niece had a lovely time.... Camden Market, a river trip, an open top bus tour, The British Museum (only complaint was it was so vast that even tho' they were there for over 2 hours they only scratched the surface). They had fish and chips in a pub, she couldn't get over how big the piece of fish was ..... Atlantic cod, not the warm water fish we get here I thought.. but in the interests of Anglo-French relations I said nowt! She was a bit staggered that it cost £12 per portion, but she said it was delicious! So I think it London won over Paris by a short head, although (or maybe because) she lived in Paris for years before moving here ...to the sticks!

Glad that you friends enjoyed their time in London. I haven't been to an awful lot of cities abroad but, out of those I've seen, I think London isthe most exciting - though I think Edinburgh is great too. Unlike most people, I found New York disappointing.

I've heard that Lisbon is really worth seeing and hope one day to go there.

Chelsea Physic garden is free & interesting if you into plants and medicinal things. River trip was fab (look for online vouchers). Love going to a show! Maybe get 2 4 1. Like the V & A museum. Have fun.

Whoops only just read the last one. Glad she enjoyed the visit.