This year I have done from your list so far broccoli, tomatoes and basil. All three sprouted withing 2-3 days sitting near my woodstove. I put them in soilless mix at day 4-6 in all cases. I can't advise on the others in your list.

Are you looking closely at the seeds? Open up a filter and check them out. The basil especially was hard to see germination when it first started.

Are you sure your seeds are viable?

Just thoughts, I too am a noob on the filter method but I've had great luck so far....too much luck, I've got far too many tomatoes.

The tomatoes, peppers and eggplant could take a good 2-3 weeks to germinate. I started my tomatoes and peppers on a heat mat and saw germination of the tomatoes in less than a week. The peppers were a little slower and generally took 3 weeks...a few straglers are still sprouting now almost 4 weeks later.
I also just started eggplant on heat mat at 85 and from what I read they will likely take 3 weeks to germinate. I've never had much luck with them but never tried them with the heat mat this warm so maybe that was the problem. The few times they have germinated for me they did take quite a long time (at least 4 weeks).
I'm waiting on my broccoli right now (only been a couple of days) but I generally give them all at least a couple of weeks before I get too worried about them :)

I hope that helps :)