I can't name them of course, but I've been using a few well-known enter your URL and get infographics like report on your site Web apps for years. The "classics" still hold well and still offer relevant information to this day even though they tend to add a lot of crap in their once simple services that doesn't help and try to upsell some stupid services I don't need and point to problems that don't really exists - again in the hope of upselling me to a cookie cuter solution that is not needed. But ignoring the upsells is easy.
Since then a bunch of other Web apps have appeared using the same model, but I have to say that they are all crap and do not offer any relevant information. Some of the old ones I never used because they were always way off. The only one I believe I can safely mention here is Alexa, and that one is pretty irrelevant.
But like I said, the new apps popping out every week are just crap and reuse a lot of the same data from some of the old degenerate Web tools that I refuse to use and just perpetuate and regurge the same bad data set all over.
I think it's safe to say that just a few of the classic apps are relevant and useful and that probably only Google Webmaster is useful. Google Analytics is so off, it's ridiculous.