The London Eye is rubbish. I remember when I went (it was really hot and I was ill), this fat woman pushed in the queue in front of me and then we ended up in the same carriage/coach /compartment thing. There is only one big bench in the middle of it on which people can sit down, if they wish, kind of back to back and this same woman was taking up two spaces. i politely asked her to move up, which she refused to do and just gave me a dirty look, so I sat down anyway and she started to push me off the bench!! So I decided to return the favour and pushed her back too before we both settled on our seating arrangements!
My favourite place in London is definitely The Tower of London. It's amazing. I love all that old history stuff. Just make sure to do some stretches before you go. the last time I went, the day after my legs were killing me because of all the spiral staircases you go up and down.