On a serious note, while the eID/digital gov system is great and all it does have some jankiness. The address search system everyone uses has been a PITA for a while and the tax system still keels over for a day or so when the possibility of submitting returns opens. Then we had the case of one dude scraping several hundred thousand ID card pictures [0].
Also the broadband part is so-so. Estonian internet is notoriously expensive and slow compared to our near peers [1].
[0] https://news.err.ee/1608291072/hacker-downloads-close-to-300...
[1] https://news.postimees.ee/7635673/estonia-s-home-internet-sp...