UPDATE: A+ should be your target now.
Is your bank of favorite online shop insecure? You are entitled to act as a conscious user. How?
The first thing any company out there should do with their systems is to make sure that traffic between the customer and the service provider is strongly encrypted. All you need to do is to visit this SSL Server Test, insert the URL for the site and expect the results.
If you do not get an A (right now *everybody* is vulnerable to latest Poodle strike so expect to see a B as the best case scenario) you should be concerned. If you get a C or lower please immediately contact the service provider demanding they correct their encryption problems.
Be specially wary of those who have eliminated their websites from SSL Labs. Security *just* by Obscurity does not work!!!