Buy steel. (okay, not necessarily, but it seems like you wanted that to be said).

I've had steel, carbon, alu. I've ridden but never owned Ti. I now have two steel bikes and an alu MTB.

EVERY bike rides marginally differently from the next. There are many, many factors to this -- with fit, geometry, tires, wheels, saddle probably weighing in as more significant than frame material. Really.

That said, there is a liveliness to a good steel frame that is hard to replicate, though some try, with other materials. It has a bit of give, which can be noodly (if the steel flexes too much), plush, lively or even whippy. This varies based on the size, weight, skill, muscle of the rider. So a bike that feels lively to me at 215 pounds will feel punishingly stiff to someone who's say 150. Much of that is up to the skill of the designer and / or the builder.

Short answer is it's impossible to make a broad pronouncement that's useful here. Ride. lots. Try lots of bikes. Buy what you can afford that makes you want to ride more. I can't walk past my bike without wishing I was on it.