In describing this scent, pretty much all has been said.
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Obsession by Calvin Klein is a Oriental Spicy fragrance for women. This is a blasphemous reformulation and I'll never ever, ever, get over it.
Edit: I should add that it layers amazingly well with older formulations of Obsession for Men.
Lately I've been revisiting perfumes from the 80's, when I came of age fragrance-wise.
Obsession in its current form is instantly recognizable, perhaps more wearable than the vintage version., and extremely affordable.
After the initial citrus rind and root-beer blast (rather like Tabu), Obsession settles down into the warmest, most comforting sweet spicy amber. Friendlier than Shalimar, Youth Dew, or Opium, not as serious, it's the warm cuddly oriental perfume. As for me, this perfume is the Holy Mother of all oriental fragrances, so majestic, strong, intransigent... And I agree with you that the older version deeper in amber and vanilla tones, less green.
When I was about 11 or 12--tall for my age, and able to wear my mother's tan trench coat in what was probably a hilarious display of attempted sophistication--I strolled into my local mall's department store, making a bee line towards the perfume counter.
My equally awkward friend was examining CK One, which was hugely popular at the time. I was drenched in oriental for several days, trailing it like a truck hauling a huge boat through an adolescent weekend of malls, movies, and pizza joints.
I have maybe 15 ml left of pre-reformulated / vintage Obsession, and also the new one (batch says: 2015).