What are the best places to visit in Quebec City?

I am visiting Quebec city. What are the best sights to visit within the city? I will be there for 2 days, without a car.

You can do the "classic" tourist walk tour. You start in the Petit Champlain district, this pedestrian district is over 300 years old and looks like an old french village (in fact, it IS an old french village) like we see in european films. Then take the funicular up to Chateau Frontenac and terrace

http://maps.google.ca/maps?hl=fr&ie=UTF8&ll=46.81283,-71.20331&spn=0.002687,0.004828&t=h&z=18

then walk west using St-Jean as far as Cartier Street.

http://maps.google.ca/maps?hl=fr&ie=UTF8&t=h&ll=46.812676,-71.213529&spn=0.010338,0.019312&z=16

Then climb Cartier Avenue up to Grande Allee

http://maps.google.ca/maps?hl=fr&ie=UTF8&ll=46.804128,-71.226028&spn=0.005376,0.009656&t=h&z=17

then visit the battlefield and come back walking on Grande Allee

http://maps.google.ca/maps?hl=fr&ie=UTF8&ll=46.801925,-71.217949&spn=0.005376,0.009656&t=h&z=17

You can go to the top of Quebec City’s tallest building (Marie-Guyard) and have a good overlook of the city and neighborhood

http://maps.google.ca/maps?hl=fr&ie=UTF8&ll=46.808195,-71.217491&spn=0.001344,0.002414&t=h&z=19

You can also visit the parliament, and if you’re there on a weekday, I suggest you lunch at the parliament’s restaurant, fine cuisine at a cheap price (not open for dinner and on weekends). Also take a look at the fountain at the front of the parliament, it’s a former Bordeaux (France) fountain imported a few years ago.

http://maps.google.ca/maps?hl=fr&ie=UTF8&ll=46.808993,-71.21384&spn=0.002688,0.004828&t=h&z=18

Then return back using St.Louis street to Chateau Frontenac

You’ll probably see a 100% electric minibus… don’t hesitate to use it, it’s free, it does a circle trip with multiple stops in the old town.

This walk is supposed to be enough to fill your 1st day if you take your time. For the second day, as many interesting suburban point of interest are very poorly served by public transportation, I recommend you revisit the old town and take other streets to see what you didn’t saw the first day.

If you want to take a day of shopping, there are 3 shopping centers (Place Laurier, Place de la Cite and Place Ste-Foy) next to each one in Ste-Foy. From downtownm, you can reach these shopping centers by using hi-frenquency bus 800 or 801.

http://maps.google.ca/maps?hl=fr&ie=UTF8&ll=46.772849,-71.282687&spn=0.010758,0.019312&t=h&z=16