Yes. I've seen a few in the last couple years: one hard science/tech company, one tech infrastructure company taking on a huge established player, one AI-ish company (but suddenly had a shakeup with senior exodus to hotter AI companies).
Non-AI, I got a written offer (for a key T-shaped hands-on technical role in a special unit of a financial institution), for which TC was (put very roughly) about halfway between Google L6 and where non-FAANG IC TC generally tops out.
Since you're asking about "non-FAANG", a few comments about that, using one offer as an example...
First, requirements: making a lot of money now is higher priority for me than it has been in the past (since I'd previously made money way too low of a priority, and now catching up to do), and FAANG-like TC is a solution, but aspects of culture and mission are still also very important.
Some ways that particular financial institution offer was more attractive than FAANG:
1. Every single person I talked with seemed genuine, honest, smart, and down-to-earth, and like they'd be great to work with, not mercenary/arrogant/oblivious like I've seen from some FAANG people.
2. The interview process was collegial and two-way. And some asked some very good questions, including questions that I think would never occur to Leetcode interviewers to ask, and the "correct answer" wasn't in the FAANG interview prep books for people to memorize/practice.
3. A higher executive themself met with me for a substantial meeting, was very smart and straight-talking about everything, and then also brought up growth opportunity they had in mind.
In hindsight, I probably should've accepted, but three of the main reasons at the time that I declined:
1. Leadership of my then-employer assured me that a showstopper organizational issue I raised would be fixed, and I felt an obligation to my colleagues to stay and help fix it. (That was my values-based choice, given the information I had at the time.)
2. The compensation was structured in a convoluted way (more complicated than FAANG TC), and the net effect was that there'd be almost no financial quality of life improvement for close to a year. So I'd be working like crazy, like at a startup (but without a startup lottery ticket), yet, although I'd be working for a big financial institution with a gazillion dollars, I wouldn't immediately have enough money and sense of income security to upgrade from a problematic early-startup-grade apartment in a VHCOLA. Buying a fleet of Brooks Brothers no-iron dress shirts would feel like an investment towards the future bonuses, and I'd just have to make sure my old radiator didn't burst and ruin everything in my closet again, until I could find a sufficiently low-risk way to upgrade lifestyle. :)
3. Once the offer was in writing, I got handed off to dealing directly with large corporate HR processes, which had a very different feel from the people I'd been talking with, and my spidey sense (battle scars) tingled. (Not potentially Kafkaesque bureaucracy for bad reasons, like some companies, but maybe the effect of decades of evolution of highly-regulated large business bureaucracy.) Not the kind of thing you want to see, right after you see that the TC structure still isn't going to make you feel financially comfortable anytime soon. This was intuition rather than hard information, but I hadn't yet gotten that disconcerting feeling from Google (where they'd grown up with a Summer Camp for Stanford Students focus on employee happiness, and where I imagine I might be able to find a progressive policy or person who is able help with a bureaucratic machine dilemma, if ever needed).
When asking about maximizing your TC, consider whether that's your only requirement, and what qualities of FAANG or FAANG-like-TC companies you have to accept to get that money.