Might seem cliché, but an older Raspberry Pi (something that doesn't need UEFI) or an Industrial BeagleBone SBC might be a good starting point as those already run NetBSD easily.
The `evbarm` port is the one you're looking for: https://wiki.netbsd.org/ports/evbarm/
The Pi4 theoretically can work, but you've got to use UEFI and boot from USB or NVMe, which complicates things quite a bit. I tried with a Pi400 trying to boot from MicroSD and it didn't end well.
You'd want something with a high temperature range if you intend the elements to work. RPis can withstand up to 85°C operating temperature, that *might* do it. If you just want a toaster for the case and intend to remove its ability to toast bread, then you could use anything that fits.
The original NetBSD toaster was a Technologic Systems TS-7200 single-board computer with a Cirrus Logic ARMv4 system on chip.
https://blog.embeddedts.com/netbsd-toaster-powered-by-the-ts-7200-arm9-sbc/
Possibly no longer in production (they say "not recommended for new designs"). Its direct replacement, the TS-7250-v3 is a Freescale i.MX6UL (Cortex A7), there looks to be at least some support for the i.MX6 family but you might need to add support for the board its on.