When I was in London

I remember taht that it was 2 years ago, in December. I will always remember these those days! London is a really stunning city, one of the best city cities in Europe. In my opinion, London is a dream for its inhabitants!

It was in December 2013, we wanted to travel with two other friends. And for the first time, we decided to go to London, because as it's not too far from France, and for 4 days, (we wouldn't a destination too far???). We found an accomodation very cheap and really nice, which was cheap and really nice. It was very close to the London Eye, very good address!

Londoners are very lucky.
They have They've got wonderful landscapes in all the city attractions throughout their whole city, you can walk around Big Ben, go to Tower Bridge. And if they want to, they can travael travel into the Tames.

My favourite place in London is near Westminster Abbey, because all as everything seems so close from this area : Trafalgar Square, Dowing Downing Street, London Eye, etc... It's very (touristic?) 

The biggest weakness of disadvantage of London is... the weather! It can be cold and rainy sometimes and rainy.

I really liked Picadilly Cricus too, the modernism of this place is awesome. And it's very interesting nice to have next to this great place, an avenue where you can find all kind kinds of clothes. Yeah, that is also London! :-)) Although it's exensive expensive, we're all tempt still tempting to buy something with the "British Elegance".

Today, I'm only dreaming about one thing, and this thing that is is to go there another time!

Comment: 
 You're English is quite good. Although you have some mistakes, they are not of the worst kind. Not everything I have corrected is wrong per se, it would just sound a lot better the way I have suggested. You could work on having better flow between your sentences (for example by avoiding starting sentences with "and"), and also between your clauses (after a comma). I didn't quite understanding the meaning with.."we wouldn't a destination too far". 

When I was went to in London..

I remember taht, it was I went to London 2 years ago in December. I will always remember it these days! London is a really stunning city, one of the best city in Europe. In my opinion, London is a dream for its inhabitants!

It was In December 2013, we I wanted to travel somewhere with two of my other friends. And for the first time, We decided to go to London because it's not too far from France, and because we were only going for 4 days, we wouldn't didn't want a destination too far away. We found an accomodation some very cheap accommodation which was really nice. It was very close to the London Eye in a very good address location!

Londoners are very lucky.
They have wonderful landscapes in attractions all over/throughout the city. You can go to walk around Big Ben, go to Tower Bridge and if they you want to, they can travel into on the Thames.

My favourite place in London is near Westminster Abbey, because everything all seems is very close: Trafalgar Square, Downing Street, London Eye, etc... It's very good for tourists touristy.

The biggest weakness worst thing about of London is... the weather! It can be cold sometimes and rainy.

I really liked Piccadilly Cricus too, the modernism of this place is very modern which is awesome. And it's very interesting to have that next to this great place is an avenue where you can find buy all kind of clothes.. Yeah, that is also in London! :-)) Although it's expensive, we were all tempted to buy something with the "British Elegance". 

Today, I'm only dreaming about one thing, and this thing that is to go there again another time!

London is a good place to live if you have lots of money. If you don't, then not so much, it is an expensive place to live. It has some interesting places for tourists, but I'm not sure you would be so positive if you had to live there. Personally I don't really like our capital city, I think there are other cities that are much better in the UK.