If I see it in the wild, I won't even click on......?
List the one singular mon that you just hate to catch. Please explain why you would rather just walk away without trying.
Mine is Murkrow. It has no value on attack or defense. The low max CP makes it pretty much worthless in the current meta. It doesn't evolve, so no reason to farm it. The low capture rate, 20, makes it hard to catch without using multiple balls. It tends to run away at what seems to be a higher rate then the 10 it is written up as. So, once you have one for the dex, or a high level high IV one for your collection, if you are a collector, then I see no reason to ever click on one again.
Answers
I almost always just catch everything I see, but the one I'm most likely to ignore is Sunkern. Since they need an item to evolve, it's pointless catching extras, and they're so weak as they are, they're pretty much useless. Plus it always seems to take a great ball to catch them. Murkrow I can use once as a throw-away prestiger, but Sunkern isn't even good for that.
I don't always ignore everything entirely like if I'm on my couch I get a single spawn once an hour so whatever that is i generally try to catch it. I still catch murkrows for the dark medal, though after that I will probably mostly ignore them, also venonat, paras, spinark, hoothoot, and goldeen are high on my list ones to pass up if I am not in a catch everything mode or am low on balls.
Ignore usually Goldeen - utterly worthless.
I actually will seek out Murky - still needed for my gold medal, and would like to have a few high-level wonders and 1000 candy for next gen... Also double-dark movesets do great as a throw-away prestiger vs the Espeons that ppl have been placing in nearby gyms. One razzberry + great or ultraball (depending on CP) plus a curve throw works well for me.