If the one you like is out of your price range, you can always save up and follow the traditional gifts for wedding anniversaries - the 1st anniversary gift can be a timepiece. I got one for my DH for our 1st anniv.
ive owned a few and own 2 currently. the best thing to do is figure out if you want something more casual like stainless as an everyday watch or something more dressy, gold/diamond and expensive, like cellini
something like a submariner or gmt master II would be more casual and on the lower end pricewise. the gmt looks great in 2 tone
i have a submariner date and an oyster perpetual air king