I'd like to replace it with wood or tiles but have less than 1/4" clearance.
Why do you want to replace it ? You'll struggle to replace it with anything as stiff, in the space avaialble. You could use Aluminium sheet, but finishing it well will be tricky. 1/4" thick ply will be too floppy, if the glass is supported the way I have seen on other tables.
If you've broken the glass, you can make a template, get a new one cut, and have it toughened by a good glazing suppliers.
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solar cells embedded in polyurethane!
Poured in place lightweight concrete then washed to expose the aggregate makes a great table top. A granite or marble slab used for kitchen counter tops. Put photos on top of it and pour a layer of clear resin over it.
Use a piece of steel. You can use plastic too, for instance. Put ribbing underneath weaker materials for more strength.
Centimetre wide little sections of wood weaved tightly together across it. I cannot seem to portray my mental image with any words.