Is there a tea like matcha that would be good to cold brew?

Sencha or any other green tea can be cold brewed.

I’d add to this that if you want cold brew green tea that tastes anything like matcha, stick to Japanese greens. Just general “green tea” is IME usually more Chinese in style and a different (though also delicious) beast altogether. Sencha is the quintessential Japanese green tea and most easily available, and IMHO makes a very nice cold brew in summer.

Actually cold brewing might also be a good experiment for any possibly remaining mid-grade matcha you may have, since the method tends to reduce astringency and bitterness; just use it like a normal tea (larger amount) and don’t stir towards the end, let the tea powder “gunk” settle at the bottom. I have not tried this.