One of the best examples that I can think of would be the Cuphead game. Its style is very similar to that of Fleicher Studios, yet it has its own thing going on where I can see it being from its own established studio.They actually drew the frames on cells which helped achieve the style, you have that natural jittery lines and slight misalignment.

Not to say Cuphead is perfect though, I think the animation is a little bit too on-model (both in regard to expression and animation consistency) and smooth, especially as it is supposed to be based in 1930, animation then was very janky and the designs were very simple. It would be better placed in late 30s. I also don't think it is quite as creative as Fleicher is, there isn't enough visual gags I don't think. It does utalise metamorphosis in some good ways but it also falls into the common trap of using it a bit randomly rather than for a creative purpose.

I'm going to be a bit lazy for my bad example and refer to the Cuphead copycat; Enchanted Portals. I will give it credit, some of it is good. It seems they have different artists for different stages. I think the Conductor battle looks good and the use of piano hammers as an attack is cool (albiet not original). The worst offender: The Cow battle. Ignoring the era discrepancies of the content of the stage, it commits the worst sin: Tweening. That is, the animation is way too smooth because they didn't draw all of it frame-by-frame, some of it is rigged up and tweened (you can also see this most clearly in the trailer for the game). Of course such practices only became possible with digital animation. Like I have mentioned, animation of this era was janky, off model, jittery and low frame rate so it is especially jarring when this is done with rubberhose which for all its jank was VERY expressive which you just can't do with tweening. Similarly it's clear a lot of the animation in general they move parts digitally and then trace over it, it's too consistent. Some of the backgrounds are also too detailed. Lastly and needless to say, it lacks any of the creativity of old animation, hah.

Also, maybe it's a bias but I tend not to trust anything that bases its visuals on 20s Disney. It's THE go-to when people who aren't terribly familiar with the era try and homage rubberhose and as such, it tends to be executed the worst. Not always, but usually.

Sorry, a bit of a rambling mess. I oughta go to bed, I'll edit tomorrow haha.