Check out the Timex Easy Reader.
I have linked the Timex site in the sources.
It's not too expensive. they start at around $40 on the website but if you Google Shop you can find some for under $30.
Timex is just about synonymous with reliable. And the Indigo light feature is maybe the best in the business. For me, a light is a must have - I like to check the time at the movies. Other than the light and the date it is totally lacking in features. Just like you seem to want.
Not only simple, cheap, reliable, but the combination of styles, watch faces, size, bezel color, straps, etc. will allow you to pick out a watch you like the look of for years to come.
I spent a few bucks more and got one of the ones with a metal bracelet.