There is an enormous amount of data from Königsberg on line at familysearch.org in the form of scanned microfilms. Unlike many other places, most of these microfilms are viewable from home. The bad news is that the scans are not indexed, so you have to view them to find the events you are interested in. The other bad news is that the microfilms were of rather poor quality - some pages are grey on grey rather than black on white, the registers were filmed in a strange order, left hand pages first, then right hand pages in reverse order, and there are some missing pages, usually the ones you need.
There are some records going back to the late 1700s, and birth death and marriage record up to the 1870s. Just in the last few days I found a burial record for my great-great-great-grandfather, who died in Königsberg in 1870.
and click on "Jewish Records".
I've been exploring "Matrikel, 1769-1880" but there are other collections that may be of interest, that I haven't looked at yet.
Under the matrikel, there are multiple versions of births, deaths and marriages. Some are ordered by date, others by surname, so a missing page in one collection is not always fatal.
Also, ancestry has civil records from Königsberg starting about 1874 in a collection called "Eastern Prussian Provinces, Germany [Poland], Selected Civil Vitals, 1874-1945"
Good luck with your search!