Sidetrip from London

A trip to the Costwolds and/or Oxford might be enjoyable for you, and I'd guess your hotel could probably suggest a day group tour company, so you'd have a guide as well as transportation. Windsor and Warrick castles might interest you. Don't know if this is your first time to Europe, but if seeing a bit of the English countryside or castles is not of interest, it could be tempting to take the Chunnel to Paris for a quick spin (spending two-three nights). You could probably pick up a day tour or two to see some of the highlights, as well as an independent visit to a museum or two (which are highlights in and of themselves).

Don't know what your interest are, but side trips we have done from London in November are: Warwick Castle, Bath and Paris. We enjoyed all three of them.

There's alot of possibilities. Do you want to stay in the UK? If so you could take the ferry or get a cheap flight to Ireland (Dublin, Shannon or Belfast) and stay for 3 -4 days. Same for Scotland- take the train and maybe spend a night in York on the way or use the sleeper and get more time in Edinburgh. You could just stay in York- lovely city. Cardiff Wales is only about 2 hours away by train and is a very walkable place- great shopping, too. Bath is also close- about an 1-1 1/2 hours by train. Brighton (beach) is also nice- even in winter.
If you want to branch out a bit more you could go to Paris (not my favorite, but most people like it), Amsterdam, or Brussels. All reachable by Eurostar or cheap flight. If you tell us a bit more about your interests, we can give you more specific recommendations.

I would head up to Scotland. You could spend a couple of days in Edinburgh and a couple of days up north. Or you could stay in Edinburgh and do day trips. ; ) Pam

I would suggest the wonderful areas just outside London. Cotswolds, Windsor area & castle, Hampton palace and either Cambridge or Oxford for a university town. They are blockbuster sights and should not be missed. Most can be done easily by coach bus or tube underground from London which is less than train fares.

The problems with day trips from London - round-trip train fares and London hotel rates. I'd choose York because it's been on my list forever, but Scotland sounds good too.

With a short bus ride from london to windsor you can see the palace and change of guard there (much less crowded than london, and goes on in winter time). from windsor you can walk cross the river to see eton college. it's not open to publich but you can walk around the buildings and see harry potters walking the streets. you can also go to bath for an overnight for the town itself and then join a guided tour to see the stonehenge and many other little villages along the way. train is expensive in UK so take buses whenever you can.

My choices would be Bath, Warwick, Hampton Court, and Paris. I would add a few more places in uk,, but frankly in november weather is likely to be wet and dreary so wandering through some places less pleasant, unless you just want to sit on a bus and look at scenery on a tour,, but even then its hard to see much if its foggy or rainy.
If I went to Paris ( this can be done so easy with downtown to downtown Eurostar ,, and surpisingly cheap if you buy ticket in advance and search fares for less busy travel days( tues, wed and thurs generally) I would stay overnight at least ,, there is so much to see there.