Filtering Play Store
Currently this is not possible.

You can view apps by category, and search by keywords, but you cannot see individual features of an app.

When you use Wikipedia, you're comparing software that does the same task, so it is easy to compare. However, if every app listed every feature in a standardised way, there would be literally thousands of options and it would be overwhelming for the majority of users.

I'd recommend reading descriptions, play store reviews as well as reviews from online sites like Android Central and Android Police etc.

Rather than comparing tables of specs, I'd suggest just using an app that looks the best, and sticking with it until you decide it's not right. If you leave a constructive review, the developer will be able to improve it.

PS, you can use PayPal or other payment methods so that Google doesn't have you're card details.