I agree with RioRico that the question was more than likely misread. I just had a look at my wife's
Olympus mju II and it has a 35/2.8 lens (coincedence that it matches the 35mm in your description). Note that this was already an AF camera. 35mm on film is considered the beginning of wide and it can be considered a nice compromise between (ultra) wide and standard if it's the only lens. It will translate to 24mm on APSc cameras.
What you're looking for is probably something between 28 and 35mm that can act as a standard lens; my preference would be at the wider side of that range (28mm to 31mm). Although not my preference, the plastic fantastic DA-L35/2.4 is probably the best buy for the money. Slightly wider and you can think of FA31Ltd and Sigma 30/1.4. And the beginning of that range is covered by something like the Sigma 28/1.8
Those are current lenses; plenty of options (both AF and MF) if you go second hand.
To achieve the effect of not having to focus, buy a wide angle lens, set aperture to about f/8 or f/16 and distance to something like 2 or 3 meters and you will have DOF from nearby to infinity; read up on hyperfocal distance. You can find the exact numbers by using something like dofmaster.com 's
Online Depth of Field Calculator
PS
you posted while was typing; be aware that the DA-L35/2.4 does not has a distance scale (to my knowledge) which will make the use of hyperfocal distance more complicated. You need to focus on something around 3 meters away, set aperture to f/11 and anything between 1.5 meters and infinity will be in perceived focus.