The best way I know of to find out is to go to a few bathroom sites and use their features to specify the precise size you have to work with. Length, width and depth can all be filtered for at many sites. You need to figure out how much room you need to save for your faucet and decide if you are willing to do a single hole faucet off center.

You may find that it is best to get a new stand or vanity. There are utility sinks in stands that may be just what you want. The Kohler Gilford uses the 2 1/2" drain. It does have a backsplash and holes for the faucet on the backsplash, but you could possibly build out a box just a couple inches deep to hide the plumbing in behind the vanity,

If you have a relativly new washer there should be a great cycle for hand wash items . I even use mine for really delicate pieces

Nancy, Thanks for the idea! this is a new vanity cabinet, that isn't the problem. Nor is the location of the faucet, since I will be having a countertop made, I can move the holes. The Kohler Gilford is a wall mounted faucet, not an option in this situation, plumbing can't be moved up in that wall. Another reason for the solid-side floor cabinet is that its left side is the ONLY place available to put a toilet paper roll, the toilet sits on that side, and the other side of the toilet is the W/D. that's why I ruled out the sinks on metal frames, and sinks with no frames. I have seen plenty of utility sinks, wall mount sinks, and hundreds of vanity sinks, just haven't found any vanity sinks that aren't shallow. I also tried the custom composite one-piece sink and counter option, it turns out that they don't custom-make the sink, they just attach one of their own pre-fab sinks made in Mexico.

Patricia, thanks, I do have that delicate feature on my new front loader. I'm thinking more of pre-treating stains like grease, or soaking an item in bleach and water. My water here in WA state is very hard, I'm doing more pre-treating. Not delicates. Believe me, I never thought it would be so problematic to find a vanity sink that was a bit deeper.....

I was talking about moving the faucet if you end up finding a sink the depth you want but bigger than would work with a faucet behind it on the counter.

Build.com allows you to search for depth. So does Quality Bath. Build has the Kohler Serif that is 6.44" deep and quite large. Since it is an under mount, that adds another inch to inch and a half of countertop to the height. The Miseno has a depth of 7.125", but since it has sloping ends, probably holds less volume than the Kohler Serif. This Toto is bigger yet, with a 7.875" depth. It also has their nifty anti-stick finish. Again, it has sloping ends and is an under mount. One of the round metal sinks, like this Elkay Mystic 18 x 16 x 8" one may give you a larger volume, as the sides are less sloped than many of the others. Or this Laufen undermount that is around 8" deep. Or this Bates undermount that is 7" deep inside. There are lots of deep sinks at QualityBath.com. Remember that any overflow hole will cut down on usable depth, and many times if you click on the specifications for a sink, the diagram will show you the depth to overflow if it is not in the text. You can also temporarily plug an overflow if you choose.

You can move the plumbing.

Nancy, you are awesome! The Toto or the Lauren might work, I've bookmarked them. Cavimum, good point about ruining the finish. Although I pretty much stick to Dawn dishwashing soap and a toothbrush for pretreating (I've gotten bicycle chain grease marks out of cotton pants and shirt that had been washed and dried already, with that).

Joseph Corlett, Moving the plumbing isn't an option in this wall, it is an interior wall with other issues (not to mention expense). From toilet base to side wall is 40" and from back wall to door jamb is 29". the vanity sits between the toilet and the side wall, in the corner where back wall meets side wall. Door into the room, a window, and the W/D make for very limited options and tight clearances. As it is, the location of the drain and water plumbing is not an issue (the drain plumbing is low enough to take a little bit deeper sink.)