I can set up a solid pellet/bb target across my basement.

Anyone do anything similar? Looking for something better than the cheesy stuff I found just googling around.

Mainly old Daisys I have restored and one target air rifle. Pretty low velocity fun stuff

I used a milk crate stacked with cardboard, this was for .22 colibri ( powderless rimfire)

Two effective traps that are easy to make, but have a small bit of investment are the electrical duct seal trap, and the rubber mulch trap.  Both are quiet and keep the lead  contained.

The first of the two uses a few pounds of electrical duct seal (the oil based kind) which looks a lot like modeling clay but a little bit denser.  It can be put into a cardboard box with a thin cover to staple or tape your targets.   You have to make sure that you use different impact places periodically as you will eventually make a deep enough crater that will go through.  Some folks will put a sheet steel backer to make sure that the pellets won't get through.   You do have to melt and re-cast the seal to reclaim the pellets after some time.

The other trap is similar but uses garden variety (pun intended) rubber mulch. The rubber mulch does require a bit more sturdy and possibly double layer cardboard front covers as it will tend to dribble out of the large hole you eventually put into the front.  Again a steel back plate is not a bad idea, but a bit of a shake with the back of the box down will remove any hollows that develop which would allow a bb or pellet to go through.

I've made two traps out of scrap lumber and duct seal. More than happy with the results.

Mid size cardboard box and a bunch of sheets of cardboard cut to size to fit inside. Another easy one is a mid size cardboard box stuffed as densely as possible with plastic bags. Both will go a long time. If needed, put one sheet of plywood in the back. A layer of duct tape and a fresh target on the front every few range sessions will make them last a long time.