If you have a rugged/outdoorsy lifestyle, explore G-Shock! Loads of YouTube videos about which ones to loo for, but the DW5600 and 5610 are classics.
If you have a more stylish/buttoned-up aesthetic, check out the Orient Bambino 38mm options. Beautiful watches, amazing price, great brand to get into for a first watch.
If you want to get weird, look at Vostok and Raketa–both are ex-Soviet brands that make interesting (sometimes loud) watches for very little money.
Then there’s the vast universe of microbrands and Chinese watches, which I know nothing about (they’ve emerged more recently, and each are a whole “scene”). Each have their own subreddits and experts.
It’s tricky to pick a watch by nationality, because many of them come from multiple places. Do you mean designed in Italy, or manufactured in Italy, or a company owned by Italians? All of these things exist, but rarely at the same time.
Many Italian-owned companies manufacture their watches elsewhere. By the same turn, there are some foreign-owned companies who use Italian factories to make watches. For example, Panerai watches are owned by a company in Florence but mostly made in Switzerland; Squale watches are owned by an Italian business family, but also made in Switzerland.
Watches that are both designed and made in Italy tend to be ultra utilitarian (but high design), like Unimatic (Japanese movements but assembled in Italy) and Panerai (see above), or extremely high-end stuff like Locman and Bulgari. None of those three companies really make standard dress watches that you could wear to a normal business meeting.
You might have luck with Visconti’s “opera” line, if you can swing the $1000 price tag:
https://www.visconti.it/en/watch-opera/
Also check out this article:
https://teddybaldassarre.com/en-int/blogs/watches/italian-watches