Hotel suggestions near the Termini train station in Rome

Yes - the Una Deco Roma Hotel. It’s 2 short blocks away from Termini, on a good street, and safe, comfortable, and accommodating. They stored my suitcase after I checked out, until I caught a train later that day to head out of Rome. Website: https://www.gruppouna.it/en/unahotels/unahotels-deco-roma

Hotel Sonya
Hotel Aberdeen

We stayed at the Hotel Cellini, it's about a 10 minute walk, or less, to Termini. It's close to Repubblica metro. Nice hotel, good breakfast.

I would also suggest either Hotel Sonya or Hotel Aberdeen. I've stayed at both and was very pleased with the comfort level and amenities. Hopefully that hasn't changed.

I am staying one night here on my arrival here in September.
Hotel Nord Nuova Roma, about a block from the station.

Depending on when you are going, I can let you know how it was.
Looks like their prices have rocketed since I booked it way back in March!

We stayed at the Hotel Diocleziano near the Rome Termini. We had a great stay there, and especially enjoyed the breakfasts. They even provided us 'box' breakfasts, when our early start for the days prevented us from dining in. We stayed in June 2024. https://www.hoteldioclezianoroma.com/

Hotel Canada, Via Vicenza 58. We have stayed there a few times, beautiful rooms in an elegant old building, very reasonable rates, nice breakfast, short walk about 5 blocks from Roma Termini.
https://www.hotelcanadaroma.com/en/