Induction? Cast iron. That is all. The glass cooktops are very sturdy unless intentionally damaged. If they were fragile my wife would’ve busted ours long ago.
We have a few stainless pots that work (check with a magnet). Not sure if the stainless ones are true bifl (the cast iron certainly is) but they’ve been going strong for about 10 years long with regular cooking and cleaning in the dishwasher (no not the cast iron).