The best bargains can be got in electronic goods and jewelry. High cost items tend to be cheaper than anywhere else because of the low tax.
The great thing about the electronic goods like digital cameras is that there are a huge range of shops and a huge stock range, so you really get to see all the different makes and models.
Some of the larger shops seem to stock a lot of brand label clothing. Don't miss out on the Via Moda Group.... especially during sales.
There are loads of ski gear shops. The best advice is to shop around.
Pyrenees department store is at the southern end of Avinguda Meritxell. There are various family friendly restaurants, a large electronic goods floor, designer label floors, and a supermarket notable for interesting Andorran and Spanish specialty foods and red wines.