Today I searched through the websites for both the Louvre as well as the British Museum. I personally believe that both websites were well made and easy to navigate, but I do believe that the Louvre has a more attractive site.
What is the best part of the website? The worst? For the Louvre, the best part of the website was the fact that it was so easy to navigate. I didn't have to spend hours upon hours trying to locate the museum's schedule, or find out what exhibits are on display. And as for the worst part of the Louvre's site, it'd have to be the logo up in the top left corner. And that's just my own personal distaste for the Louvre's logo. And as for the British museum, I felt like the three main "topics" and task bar were easy to navigate. However the British museum's website had far too much white pace which I felt made the website look cluttered. 
Is the website accessible for all people (sight impaired, hearing impaired)?
Not really, and that's a major downside. It'd be very difficult for a blind person to search the louvre's and British Museum's websites. But a deaf person could easily do so.
What kinds of exhibits are displayed currently at the museum, and what kind of online components (educational, links, images) are available if any?
Currently both museums have numerous galleries and exhibits up and the Louvre has just opened up their Islamic art exhibition. Online neither museum has very much; the British museum has a tab dedicated to online gallery tours. Both museums also have dedicated youth and student tabs and options.
What could each learn from the other to make their websites better?
The British museum should definitely learn from the Louvre and fill the copious amounts of white space with SOMETHING. The Louvre on the other hand, should take a page from the Brits and change the stupid logo.
In conclusion, I feel that the Louvre has a beautiful, top quality site. It's easy to navigate, easy to understand, and just looks fantastic. The british museum has a decent quality site as well. Navigation is easy, and content is spot on. Again it's just the white space tat drives me nuts.

(http://www.britishmuseum.org/explore/explore_introduction.aspx)
(http://www.louvre.fr/llv/oeuvres/alaune.jsp?bmLocale=en)

I am going to tell you about six amazing burger places back in the states. Culver's, In-N-Out, Steak N' Shake, Sonic, Smashburger, and five guys. These are some of the best burgers I've ever eaten, and places that I would highly recommend to anyone and everyone. I could tell you all about their greatness, but a picture's worth a thousand words, so look at these.


Five Guys double bacon cheeseburger



Culver's double butterburger with fries and a coke

Smashburger bacon burger with onion strings and fries

Steak N' Shake double cheeseburger with fries and milkshake