I became interested in this last year after doing an AncestryDNA test. One website I found that you might be interested in is Promethease [0]. I haven't tried it myself yet, mostly because I am not fully comfortable with the idea of the report telling me things I don't yet know I don't want to know :)
I also found it is backed by SNPedia, and that - at least with AncestryDNA - you can download a text file containing your sequenced DNA and then grep through it for specific things you are interested in from their wiki.
(I have no idea if that's in any way sensible, however...)
[0] https://promethease.com/ [1] https://www.snpedia.com/index.php/SNPedia