Eating out in Spain - travel advice, please

[Ethelred the Almost Ready]

Not a wargames related post but as others have sought travel advice I thought I would try here.
We are travelleing around Spain later this year.  I have been given a simple task: find a restaurant in Seville, Valencia and Madrid.
Open to any suggestions.
Either exceptonal food, interesting atmosphere/historical building, unusual food that we will not find anywhere else.  Happy to go for a big restaurant but also OK with a nice bar or more family run restaurant.  We will be in the city centre for each of the cities. 
Price generally isn't too big an issue, but not crazy stupid prices.

Any suggestions welcome.
Thanks

[FierceKitty]

We were in Spain a bit over a year ago, but sadly didn't make notes of locations or restaurant names. What I can remember:

1) There was a restaurant in Seville (El Cabildo, I think) which served a local dish of mildly spiced chick peas with spinach puree and little soldiers of fried bread; even my wife, who avoids vegetables, agreed it was delicious. Watch out for it.
2) The restaurant in the Prado was possibly the best of our whole holiday. We went to the sit-down, table service bit; can't speak for the cafeteria. Of course, you'll probably want to guzzle fast and get back to the piccies.
3) Fresh cod is ironically much less exciting than the salty, dried one. If you've eaten baccala in Vicenza, you may be tempted by fresh cod dishes in Seville, but are likely to be disappointed.
4) They say if you drink only small beers, you can dine on free tapas without quite getting totally plastered. However it goes, the croquettes in tapas are usually good.
5) You really should include Granada. The Alcazar is one of the most beautiful buildings I've seen in my travels, which by now have taken in a lot of places.
6) I can't speak Spanish, but was assured that if I spoke Italian slowly I'd be understood. Experience generally proved otherwise. If Spain is new to you, brace yourself - they aren't usually as good at English as other Europeans have become. In fact, in Madrid I even ran into a local who couldn't speak Spanish ("Me, Galicia, other language").
7) The standard breakfast is a kind of fried dough stick with a rich chocolate sauce, also loved by Mexicans. Overwhelming but good.

Hope there's something useful in the above!