Either/Or

Either a shower gel with a clearly noticeable oud smell,

or a 150 ml perfume with a shampoo-ey shampoo smell (it's a gift, you to empty it) - ?

Those are some nasty choices...
perfume with shampoo smell?

Pick one
Betty or Veronica
or
Reggie or Archie

I choose 'Reggie or Archie' (and from those I choose Archie).

Either "Opium pour Homme (eau de parfum)" worn by a woman,

or "Youth Dew" worn by a man ?

Youth Dew on a man. That stuff will smell like magic on almost anyone.

Broken or chipped bottle, with perfectly intact juice or Pristine bottle with faded and flat juice?

the chipped bottle of course!

Running or swimming?

Swimming.

The smell of woodsmoke or the smell of rain?

This may be the most difficult either/or choice so far but I'll have to go with the smell of rain, specifically petrichor. It's so ephemeral. http://en.wikipedia.org/wiki/Petrichor

Mary Ann or Ginger? (I suppose the other gender choice might be The Professor or Mr. Howell/looks vs. money)

Ginger.

Karl Lagerfeld with his cat,

or Ernst Stavro Blofeld with his cat ?

Ernest Stavro Blofeld only because he's a fictional character and Karl Lagerfeld is a real life freak-a-zoid who gives me the heebie-jeebies.

Lost or Twin Peaks?

Twin Peaks.

A gorgeous perfume that lasts two hours or one that's merely pleasant but lasts all day? Both cost the same.

Old Twin Peaks, although the final season of the series was not so great when David Lynch handed over the show to others. And, speaking of which, I think David Lynch is the one ditching the new Twin Peaks. Unfortunately, if someone tries to mimic Lynch's vision the new series will likely be a pale, goofy imitation.

Here's a message to Lynch from the original cast:
http://www.huffingtonpost.com/2015/04/08/twin- peaks-cast-david-lynch_n_7026144.html

Potato chips or Cheetos?

Cheetos.

Re. Twin Peaks: I did watch that follow-up movie called 'fire walk with me', I thought it was good.

beard or mustache?

Beard. I'm no Tom Selleck. Really.

A vacation that provides stunning natural surroundings with upscale accommodations on a fjord in Norway or a coastal rainforest in the Caribbean?

Norway,
I live and grew up in FL I've have enough of tropical beaches.

Fried or Grilled?

Grilled!
Ice lemon tea or hot herbal tea?

Violets.
Family tree reveals secrets
Hankies or tissues

My question was Ice lemon tea or hot herbal tea
Maybe you mean you are making a special tea with violets ?? ))
My answer to your question is tissues.
Gourmand perfumes or Chypre?

gourmands.

Hip hop or punk?

Hmmm...hip hop
Pink or purple?

Purple! Always Purple

Beer or wine

Beer!!
Mars or Snicker? ))

Snickers!

"Alien - Le Goût du Parfum" (the caramel one) or "Le Mâle" ?

Alien!
Freddo cappuccino or freddo espresso?

I totally had to google those.

I'm a sucker for a cappuccino. And playing with a milk frother looks fun...

Broke (poor) but married to your perfect mate, or well off (wealthy) but with some one you "settled" for?

broke but married to perfect mate.

Win a lifetime of free luxury perfume (for your own use), or win a lifetime of free luxury cars (for your own use) ?