The joinery on this project is pretty unique, I think. There will be some traditional woodworking joints, like half-blind dovetails in the player trays and drawer fronts:

But for the most part things will be screwed together. The main reason is because wood moves—it literally changes shape over time. If you don’t account for this wood movement, and just haphazardly join and glue parts together, parts would crack and tear themselves apart over time as these competing forces work against each other.
Even after a tree is cut down, dried and milled into boards, those boards can still absorb and expel moisture. This equates to a board getting wider when it’s humid, and narrower when it’s dry:

For all intents and purposes, a board never gets longer with changes in humidity:

As you can see here, longitudinal change in length is 0.01% or less, which means we can effectively ignore it when building your average piece of furniture (although someone building a bridge out of wood may have to worry about this movement!). But even a relatively narrow board of 6” can change 1/8” or more during the course of the year. So if you have boards meeting at 90° you’re going to have a problem:

Unless you use a woodworking joint that allows for that movement:

Here, a large slot (mortise) is cut into the end pieces (called breadboards) and attached only with the three pins driven through them. No glue is used, and the holes in the narrow ends cut into the table top (tenons) are elongated, allowing them to move around the pin as those boards grow and shrink.
That brings us back to the game table. The player trays and cupholders are going to have wood grain going in all kinds of different directions, and would be difficult to join using traditional woodworking joints. Here’s just one example, with arrows added to denote the directions that the wood will be expanding/contracting:

The web frame inside will be getting taller and shorter, the player trays will be getting deeper and narrower, but also taller and shorter, the same for the cupholders…ahhh! How will I ever keep all of this from falling apart? But before we get to those, we have an even bigger problem. Remember this image?

That center piece is 42” wide, and with an 8% size change that’s almost 3.5” of seasonal size change, how will that ever work??
This is the reason why this center panel is made of plywood: plywood does not change size. Plywood is constructed by alternating layers of wood at 90° to each other, and each so thin that the layer above and below cancels its tendency to change size:

So the center of the table is good to go. Next, check out the detail of the frame surrounding it:

That frame is solid wood (sapele) and is subject to the normal rules of wood movement. But those tabs sticking out look a lot like the mortise and tenon construction of the table we looked at above. When they’re separate pieces slotted into a groove in the end like this, they’re called splines. In this case, since we don’t have to account for the center board moving, we can just glue them in place on that side. And the solid wood they’re being attached to is positioned lengthwise, and we can ignore lengthwise (longitudinal) changes in size! So we can glue that side of the spline as well.
The only area where this gets tricky are the ends where the boards meet at 90°. There’s still a spline here, but we’ll only glue about half of it. I learned that when joining two pieces of wood like this, you can ignore the first 3-4” in regards to wood movement. After that you need to leave the joint unglued, or attached with pegs, to allow for that little bit of remaining size change. So in this case I’ll only glue in this area:

Now we come to all of the random holes drilled in the frame, and how I’m going to avoid this table destroying itself. This is where the player trays and cupholders will be attached. And by elongating the holes just a tad, the screws are given room to move along with the wood. They also make it handy to potentially remove certain sections and replace with different modules if I come up with a new accessory in the future! If we go into x-ray mode in Sketchup you can see how they align with the cupholders and corner piece:

I’ve given the layout of these various pieces a lot of thought and I’m fairly confident I’ll have a table that can last a couple of generations of family board game night!