Relaxing is “easy listening” genre to me, not classical. Relaxing means very passive. I like Zen Garden Music for that.
Classical music for the most part is never relaxing. It is supposed to stir the soul and evoke powerful emotions. The emotional response varies of course depending on the composer, the period and instruments, the musical piece and even the performance. The emotional state can evoke a light euphoria, or sadness, or nostalgia or a dozen others. Isn’t that the whole point of music and virtually any genre?
I however doubt one can find many examples of the popular and well known classical music compositions that will leave one completely devoid of any emotional response if they are actively listening.
Some people just don’t relate well to classical music and perhaps either cannot or do not want to handle the emotional baggage of classical music.