Some interesting perspectives here on what constitutes exotic and esoteric. Esoteric likely easier to identify, but exotic can be interpreted in different ways.
For me, exotic simply refers to less mainstream choices, and I feel that most of my system qualifies.
Although PC based audio is mass market these days, the use of FLAC and a modded Logitech SB3 immediately qualifies in my mind, as exotic.
DIY speakers, let alone open baffle, qualifies for sure.
A 50+ year old tube amp also likely qualifies.
Now, did I choose this gear specifically because I feel it is exotic? No, it is a system that has been pulled together because it is economical for me, and it plays well together, AND it is exotic.
Anyone who knows me well, knows that I love things that stand out, in addition to being good. I cannot tolerate it standing out just to stand out though - it has to be good too.
My car audio gear would also reflect that - plain jane head unit (don't want my car getting broken into for some exotic piece!), but the amp is old school Orion, the components Zapco, and the subs DIY Canadian designed, Chinese built units.
So too my selection of golf clubs - old school Ping irons, customized old school Ping putter, custom built driver (SMT head) etc.
Absolutely the way I used to customize motorcycles - good gear that was off the beaten path.