I found The Earl totally by chance when I was actually looking for another restaurant in the area. It was empty; it was late Halloween night 2014, so most people were in Roppongi partying, but the owner, one of the waiters and his wife and kids were there enjoying a movie night (I believe Ghostbusters was on).
They were all super friendly and welcoming - lovely to chat to and made me feel right at home. I joined them for the movie night and ordered the California Bombshell sandwich (avocado, alfalfa sprouts, lettuce, kumara potato, red onion, cheese, poppy seeds) and tomato rosemary soup and it was divine - seriously one of the best veg sandwiches I've ever had. They are pricey, though (there are four veg ones to choose from and range from 1,150-1,300 yen...crazy since you could get 2 or 3 meals at some soba or udon places for that price) so personally The Earl would be somewhere I go as a treat, rather than a regular place. A shame though, because the food is so tasty and the staff treated me like family (they were dining on 'little hotties' when I was there and graciously gave me a veggie chili one for free)! In fact, once I was done eating, I went with the waiter's wife and his kids to Roppongi to check out the 'parade' of Halloween costumes....a lovely and memorable experience after a great dinner at The Earl!