I have snowboarded in the Aosta Valley, Via Lattea area and more recently the Monte Rosa area, all in Northern Italy, as well as various other locations in France, Bulgaria and Austria. Italy is definitely the European resort of choice for me. Although the bigger French resorts have excellently linked pistes and proper toilets (girls prepare yourself as over half the toilets on the mountains are ceramic holes in the ground!), they are incredibly expensive and really really busy.
In most Italian resorts you will not pay more than 1.50 Euros for a coffee and the food in the restaurants on the mountains is very cheap but tastes amazing. Accommodation is usually more affordable. I have always found the Italian residents in these resorts really friendly and often go beyond the call of duty to help.
The resort areas I have mentioned are suitable for all abilities, and are large enough to keep the advanced skiers/ boarders on their toes. I find that Italian reds and blues are not as steep as on the French slopes. The pistes do not get particularly busy during the weeks, the weekend being busier with the locals coming out to play. Even so you will find you don't have to constantly try to dodge others on the slopes.
The off-piste opportunities are immense and it is very easy to organise a heli-drop (if you want to get the adrenaline pumping). It is illegal to carry out heli-drops in France. The heli-drop companies get round this by flying skiers/ boarders over the border to Italy, and then guiding them back down to their French resort. This is very pricey! The cheapest heli- drop of my 2013 holiday was 130 Euros. What a bargain. It is law in Italy that you should carry avalanche safety equipment with you when off-piste which seems sensible to me. If you are injured on a mountain, you will not have to show your credit card to be taken off the mountain, even by helicopter, as this is their mountain rescue version of the English NHS ambulance service. This is not the case for the bigger French resorts. (By the way, I'm not implying here that you don't need the correct holiday insurance - going on this kind of holiday without specific winter sports cover is a very bad idea that could leave you thousands of pounds in debt if you are unfortunate enough to have an accident.)
As with all European resorts, you really are reliant on good weather. As weather is unpredictable amazing snow cannot always be guaranteed. 2011 was a particularly poor year for snowfall affecting both Italian and French resorts, however this year it has been excellent.
There are not many downsides to the Italian resorts. The biggest for me (being female) is that a lot of toilets on the mountain are ceramic holes in the floor which is awkward to begin with, but when you gotta go, then you gotta go!
The pistes are not always linked up in a logical or easy to find way, so you really do get to practice your map reading skills. I have found that the French resorts have invested more heavily in infastructure and access around the resorts is more user friendly and that is probably why the slopes are jammed full of skiers/boarders who always seem to get in the way.
So apart from two minor annoyances with Italian resorts, I would return to and recommend Italian ski resorts. You will have an amazing holiday!
If your after skiing holiday thats great fun and easy going then why not take a visit to La Thuile. Nestling just below mont Blanc the view is picturesque and theskiing is breathtaking. Theres something there for evertone from begginers to expert yuor bound to find fun in the snow. With lots of chairlift links it is possible to ski into france for the day if you wish which provides even more skiing.With lots of village restaurants and bars you'll soon fit in with the local culture. The instructors are friendly and always willing to help a great holiday overall.