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Because you're looking at Google Apps as an option, I think the best possible solution would be "nicknames" in Google Apps. This is how it meets your initial criteria:

Yes - Use my main Google/GMail account with it, somehow.

Yes - Set up a new addresses easily and quickly.

No - It would be cool if the addresses were created automatically if a mail is sent to it.

Yes - Remove an address, so I won't receive any mails sent to it anymore

Yes (if you set up labels and filters) - See my emails both per address and all in one list in my mail client (OS X' Mail.app)

Based on your above pluses and minuses, here's how this solution stacks up:

+ You don't have to use plus signs in email addresses, since they're often not allowed   + You could delete addresses completely.   + Full control over your emails. You could easily migrate to another provider, but I also doubt this will be necessary in the near future.   + Since they're just nicknames, you only have one actual user account and password   + There are only new labels/folders (no other accounts), so nothing to add to Mail.app + If at some point you need to reply from one of the nicknames, that's easy to set up in the Gmail interface (though I'm not sure it'd be possible from within Mail.app).   - Not free. But it's not expensive, so that's no problem.   - You would need to create each nickname/alias in the Google Apps interface (details below)   - Since you want to be able to see email both per address and all in one list in your email client, each time you make a new nickname, you would have to explicitly create a label & filter in Gmail's web interface  

Instructions for creating a nickname in Google Apps (once your domain and user are set up):

In your Google Apps email, click the gear in the upper right and select "Manage this domain"

In the new tab that opens, click "Organization & users" in the top navigation

Click the user you want to add a nickname to

Click "Add a nickname" and type the nickname you'd like in the box

Hit save and you're done

If you ever need to send as one of the nicknames, simply follow the instructions from Google for "I'm a Google Apps for Business user sending from a domain alias or nickname." It's as simple as a few click in your email settings, then clicking a link in the confirmation email.