I'm experiencing the same issue as the OP.
My wife has a rose gold 6s 64gb and is not experiencing this issue.
I have a black 6s 64gb and I AM experiencing this issue.
We both bought launch week. Neither of us had any issues prior to this. We were both running ios 9.2.1 and both upgraded to 9.3.0 via OTA on 9.3 release day. I upgraded early in the afternoon, She upgraded later that evening.
I didn't notice my issue until about 1-2 days after upgrading. Maybe because I wasn't paying too much attention, idk. My wife is not experiencing any issues on her 6s.
I experience the issue whenever I click on most links on a webpage using safari. Easiest way to reproduce is to search something on google.com. Safari will crash when I click one of the search result links. I have to kill safari to recover only for it to do the same exact thing. I experience the same behavior when I click on any links within an email in the Mail app. I don't experience any of these issues in either the Chrome or Firefox browser. I would have to guess this issue will crash any app that attempts to launch a url link via the safari browser by default, but I have no way to confirm this.
I closed all open tabs in safari, then killed the Safari app. I then cleared my browser history and cache in Safari Settings before attempting to recreate issue. Issue was still occurring.
I then disabled JavaScript in safari settings and attempted to recreate the issue again. This resolved my issue in Safari, however the issue still occurs when I click links in the mail app.
Trying to be as verbose as possible in case Apple is crawling/parsing their forums for useful data on this issue...