Strange idea?
 

My sewing machine is sunk into a farm table...the table top is slick, and my filmsies keep slidding off the table. I have to catch them over and over and put them back up on the table top. Drives me insane! Thinking aboaut getting some of the adhesvie bathtub strips to prevent slips and falls and adding to the left side of the table to grip my tops. Do you think this will help? Has anyone tried this before? Any other idea are welcomed..

conumdrum...because you want it slick when machine quilting.
My main machine is sunk in a huge old computer table with extra coats of clearcoat so sort of the same thing. When I'm doing something big I line up my ironing board on my left to take the weight, do you have something adjustable height that could serve?
Or roll out a strip of rubberized shelf liner and tack the edges underneath so it doesn't move and see if you like the change, easily reversible. Maybe about 2' to the left of where you work so it doesn't impede everyday piecing.

That said, I'm always blown away when I see someones quilt room full of fabric and/or machines but no set in sewing machine. What a wonderful differrence it makes in everything!

Here's a strange solution to your strange idea! I got a roll of this textured window film for the sidelight next to my door. Price is reasonable, quality/vinyl good -- and it is just a cling so reposition-able. How well it would cling to your table is an unknown but you could find out if some texture is really what you want.
https://www.amazon.com/LEMON-CLOUD-D.../dp/B06XT1JQDK

Put up a flippable rim around the table. A few boards placed at intervals. You can buy them or make them yourself.
https://arrowsewing.com/accessories/...-quilt-blocks/

How about pool noodles? You can split them halfway through and insert
them around your table and remove them when you need your table
for cutting or something else. And it's cheap. :)

You could try the rubbery shelf liner stuff. I use it under my foot pedal to keep it from slipping on carpet. It would not be "fixed to the table" and would be removable. They also used to make placemats out of that stuff.

Totally Agree!
You don't want to lose the slippery surface, for when you need/want it.

Better to look at something that can create a curb of sorts.

OneByOne's link might give you an inspiration for a DIY creation for a lesser cost. My desk is an old farm table. There's a good overhang that I could easily clamp something to it, to create a stopper board.

Before I read EasyPeezy's pool noodles suggestion, I was thinking of that as well.
However, on 2nd thought, they wouldn't provide much of a curb, and you still might lose your quilt overboard!

Likewise your adhesive bath strips, won't likely stop the flimsy, once it starts to slide, because you don't have weight on top to help stabilize.

Maybe Command strips would hold light boards to the edge of the table, or heavy duty velcro?

Put an upside down flannel backed tablecloth on your table i.e., flannel up. You said Farm Table, in my imagination, that would be a pretty big table. So, get a big tablecloth if you can. Tie it to your table legs (assuming they are near the corners) so it doesn't shift around. Or you know, use some flannel or a flannel sheet.

Take it off when you need to quilt & want it slippery. Just my take. I hope you find what you need.

My first thought was, bathtub strips are a pretty permanent application. What if you don't like it?

My table is next to the wall, so quilt doesn't slide to left. It does pull to the front and off the front of the table. Putting extra table space in front of the left side table solves my problem.

When quilting I want the "sandwich" to move freely through the machine. I don't want it sticking to the table and need to be lifted up to get it to move under the machine.