Flickr is definitely a good fit for what you're after:

1. It's public by default (unlike Facebook which tends to be private).
2. It's huge: it definitely ticks your "mass public" box.
3. It has excellent social features that make it very easy to interact with new users (people you don't already know) and get your photos seen.
4. It doesn't over-compress your images (like Facebook does) so it's a great place for a high-quality showcase.

In response to Kiril Kirov's comment ("I created a flickr profile, but not a single view for about a week :D"), it sounds like you're not using Flickr to its full potential. If you want other people to notice your work, try the following:

1. Give your photos meaningful titles, descriptions and tags to ensure they appear in search results.
2. Add your photos to relevant groups and join in the group discussions.
3. Find other users whose work you like and add them as a contact. It's not obligatory to reciprocate but many people will. At the very least, they'll usually check out your stream to see who you are.
4. Look for other photos you like and comment/favourite them. Again, there's no guarantee people will reciprocate but many do.
5. Join a Flickr group local to your area and go along to a meet-up. (If they don't seem to have them, try arranging one! If there's no group, create one!)

Even though Flickr is public by default, you do have to invest some time in it before you'll come to other people's attention. But the same is true of any other photo site. Plenty of people choose other sites (such as 500px, SmugMug or Zenfolio), often because they have a more professional "portfolio" look, but for social features Flickr just can't be beaten.