I wonder if there are any modern languages that would be particularly interesting to make specific hardware for.
The only example I know of is the one that runs Java bytecode.
Add Forth to your list. There's 1 or 2 CPU's out there that came with a Forth engine in hardware (iirc). And there's some chips heavily optimized to run Forth systems (see eg. GreenArrays GA144. Sadly seems to be defunct these days?).
As for your original question: you might want to have a look at languages that overlap the border between 'traditional' PLs, and hardware description languages. Or hardware/software co-design, and tools used in that field. Edit: also see Oberon.
> The only example I know of is the one that runs Java bytecode
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