Is there any service where I could plot company's stock prices against company's quarterly net profits for example?
ShareOwner's software and data provide charts like what you're asking for: stock prices vs. profits. Their database contains stocks from major U.S. and Canadian exchanges. Here are two simplified examples of what the charts in their magazines & software look like:
Above, the red bars are the stock price range bars, the green line plots earnings per share, and the blue line plots revenue. ShareOwner advocates an approach to stock investing where the aim is to buy "great" stocks that are "on sale". "Great" stocks have consistent, growing revenue & EPS, and are considered "on sale" when cheap relative to historical valuation. Approaches like this are considered Growth At a Reasonable Price (GARP).
I'm familiar with ShareOwner's products because I used to be a subscriber. However, I did come across similar software & data packages when I did some research of my own for these kinds of charts & services:
There may be more. None of these software + data solutions are cheap, so do some due diligence before you buy.
Finally, if you're interested in learning more about these kinds of approaches, in addition to courses/material from the companies above, I'm aware of the book Take Stock by Ellis Traub. I read the first edition (earlier link) a long time ago; the latest (3rd) edition seems to be available at iCLUBcentral, but not Amazon.