Void said:
I assume you've read the first two parts of the LotR and also the Hobbit?
Yes.
They're all pretty enjoyable, in my opinion. Are these books required reading for you Brits?
Only if wanting to have a good taste in fantasy.

Seriously though, it surprisingly hasn't been part of curriculum in my time of education bar a project on The Hobbit when I was 9.
A Dance with Dragons is the fifth book, right? I've only read the first two and that was very long ago. What is your overall opinion of it so far?
A Song of Ice and Fire is a series that lives up to it's hype and is a major case of the book being better than the show. It has excellent world building with the detail of it's world's history and lore, a good deal of political intrigue, well done grey morality and some of the best character writing I've seen in fiction with characters such as Tywin, Jaime, Tyrion and Littlefinger. Moreover, it's structure and smaller details are quite incredible, with each book containing great parallels between it's characters and such attention to each word that many minor sentences can be major foreshadowing.
It's far from perfect though. Whilst many characters are well written and given clear limitations, the stupidity of some characters (eg. Catelyn) is so extreme that it seems almost unrealistic. On that subject, character intelligence seems to switch drastically between certain books, such as Cersei being quite a clever schemer in A Clash of Kings, whilst being a complete idiot in A Feat for Crows. Also, according to Martin, Hodor's story will be somewhat similar to the time paradox bullshit of the show, which will ruin the continuity if so.
Comparing it to The Lord of the Rings and Tolkien's Legendarium as a whole, I'd say that apart from the time travel that will likely come in the sixth book, I prefer it overall due to having far more character complexity and very unique twists in it's story. Series as a whole gets an 8/10.