From my personal experience I witness a lot more sick kids these days among vaccinated and I barely know any unvaccinated kids to properly compare.
I don't know if this is even true, but let's just assume it is for the moment. If nearly all the individuals you are looking at are vaccinated, with no real control group to speak of, then whatever effects you might be seeing can't be attributed to them being vaccinated. You said yourself that you don't have enough individuals to "properly compare" - so you shouldn't try.
If there is such a thing as "more sick kids these days", then this could be due to them being vaccinated, but it could also be due to a whole range of other factors all just loosely correlated with each other.
Taking me as an example, I'm a kid of the eighties. In my youth, I still went on biking trips with friends and played in "dirty" forests - but I also got hooked on video games, owned every Nintendo platform and an early computer, and thus spent a good amount of my time not exposed to allergens. I have some allergies now, but I can cope with them.
Comparing this to some "average childhood" in the 1960s, with no personal computing going on whatsoever - or an "average childhood" now, with Wi-Fi and all sorts of handheld computers being ubiquitous - I can see how this could lead to more people showing allergic reactions to nature now vs. 20 years ago vs. 40 years ago.
The same or similar arguments could be made for diabetes and weight problems in general, for so-called "attention deficit" disorders, and many other things. Attributing all of that to vaccination, simply because it is one thing of a million that happened to happen in the general timeframe you are looking at, is a bit too easy.