There are many places where you can go to find a London hospitals list on the internet. It's quite easy actually as long as you know what you are doing and where to go to get the information. Many people get really confused about this and end up wasting their time. The internet is huge with lots of information so you either know where to go or how to target your searches.
The best place to find a London hospitals list is from the UK's NHS website. They have a directory of all hospitals there. Just Google it and you'll get the information that you want.
Alternatively just follow this link to see a list of hospitals in London from this site: London hospitals list.
You can also find your list by doing what is called a local search on any of the major search engines such as Google. Just go to their website and look for the Google maps link. From there just enter a search like 'hospital London' and you'll see a list of hospitals with names, addresses, post codes, phone numbers and where to find them on the map. It's an excellent resource and is highly recommended.