Is there a place for this type of thing in modern society?

It exists, yes.
I find most people approach finding someone in two ways that I think are a bit flawed:
1. Instant attraction: If they don't feel some kind of magic on first meeting, they move on.
2. Shopping list: they have a long list of traits they are looking for.

When you look at so many successful relationships where people met organically, often neither of those two formulas would have worked. Often the attraction grew over time, because you don't really know someone in a first meeting - sometimes you see them over time and they hook into your heart with who they are. And the shopping list - I understand some things you absolutely can't live with, but if it's too long...
Either of those, it's possible you only had a first date with someone who could have been the love of your life.

There is no long-term future in a relationship based on duplicity.

There is plenty of future in genuine platonic relationships.

I been told by 3 different women that I'm every woman's dream, except not many women are my dreams. I won't date unless she's perfect for me. The down side to this, is their feelings when I had no interest after them remaining friends with me. I haven't dated in 17 years.

I think that's something you should be open about. Because what if the other person just doesn't want that at all on any level and thinks you're both just good friends? Then you both end up disappointed, frustrated, and hurt.
I totally think starting a relationship as friends and making a conscious decision to see where it goes can work. Much better than rushing into a serious relationship.

What if they both are playing that game

Yes,these do exist