I'm doing my first Bible read through right now. I started with the Douay-Rheims, but switched over to the ESV (English standard version), because it's very close to the older translations, easier to read, and has notes discussing the original Greek, and other variants of the passages.

If you want to be hyper accurate, just read the original Greek. There are tons of translation resources online, and even more for the Bible.

I've been using the website Bible Gateway, which allows you to read chapters in many different translations, and compare specific verses with all different translations at once, which is nice for people like me who like to deep dive and research while reading.

I'd only advise to stay away from dispensationalist Bibles like the Scofield Bible. I don't like the NIV, either, as it leaves a lot to be desired in its translation.