Is that third picture the door you were talking about? Doesn't look like oak to me. Looks like Hickory or Pine.
Keep in mind that pigment stains will highlight grain, by settling into the pores of the wood and making more of a contrast between the two. Dye and dye stains will color the wood (as opposed to the grain), and leave a more even appearance. If your wood is maple, this may not be as noticeable, since maple has a very tight grain pattern.
Stain does not have a sheen, per se. Stain is for coloring the wood. Other top coat products (Oil, varnish, polyurethane, etc.) provide protection and luster. Unless, of course, you are using a one-step product. Minwax Polyshades comes to mind. Don't do it. If you want a rich look, color the wood (or use a wood that is already the color you want, like walnut or mahogany) and then use a finish product to seal it, protect it, and provide some depth.