I’ve seen some nice looking spinning tops online made from three or four different woods, some with what look like a Ball Bearing at the bottom.
Do any of you know the best way to approach turning something like this? Concentricity is the key I think?
Ed Davidson/YoYoSpin is the authority. I'd look at his and maybe buy a few for a closer look.
I've made many 100s of finger tops but I almost always use solid wood. I would send batches of 50 with a missionary friend to use at an orphanage in Romania to encourage participation by the kids.
I've heard various theories about the center of mass but found a wide variation in shape and mass distribution spin well. Unbalanced does not spin well, of course. The main part of the top does not have to be round - I've made them square. It's nice to make the tips of the "handle" so they spin nicely upside own - a good challenge for kids.
Even if you want to turn some from glued-up wood you might start by practicing with solid wood. I made this to show people the sequence of cuts. I turn, sand, and finish in sections since when thinning the handle the earlier parts can't be reliably touched. I know some people turn them the other way, with the handle first, bit for me this way allows better spinning.

.
A few examples. You might notice I use friction burning a lot with a very thin wire. It's tricky to friction burn on a slope with a wire but I developed a way. On another forum someone said he could make just as clean burned line by holding a sliver of formica against the wood but after some back-and-forth I sent him a top to duplicate and he gave up.

When I started making these over two decades ago nearly all I saw were turned quickly, textured with a chatter tool, then colored with markers. I saw none on the forum that looked like these. Now I see many.
I've also made them from other materials such as acrylic and aluminum.
JKJ