I was stationed in Naples, Italy from '99 to '03 and we always had our main Remembrance Day Ceremonies at the Moro River War Cemetery.
As such I can only echo what the previous posters have said. The museum that Redeye talks about was, at the time, kind of unique as it wasn't ran by the state government, but was a private affair. When I was there in '02 they had just opened and had some displays of uniforms and equipment that had been donated to the museum. In 2006, a Sherman tank was moved from the Netherlands to Ortona as part of a war memorial. More info
here.
The Moro River War Memorial has over 1700 graves, the majority of them being Canadian and is the largest single grouping of Canadian war dead in Italy. It's just a couple of minutes south of Ortona and the best way to get there is to take the secondary coastal road* (SS16) south out of Ortona and the War Cemetery is right beside the highway (left side, if heading south) . You can also travel south from the Cemetery to observe the type of terrain the Canadian and Germans fought over and you can also pull over if you want, an option not advisable if you take the autostrada.
The cemetery is very poignant and I never left there with a dry eye. Very sad. And you never know what you are going to find. One of my aunts married a gentlemen who's family was from the Red Deer and Edmonton area and imagine my surprise when, after the '02 ceremony, I came upon an gravestone of a young soldier from the
Loyal Edmonton Regiment with the same last name! Same Family? Possible? Another gravestone I remember was of an officer in Yugoslav Army and I always wondered how a Yugoslav soldier ended up being buried in Italy?
* Not the A14 Autostrada.
Another possible site is Monte Cassino. Very large Commonwealth War Cemetery with about 800 Canadian interned there. One can also visit the cathedral itself that overlooks the area and gives you an birdeyes view of the terrain the Allied soldiers had to fight through.
Happy, and safe, travels.