How large a rug? I use machine washable rugs on each side of the door to the garage and have found Target has some durable ones. I also have some washable rugs from BedBathBeyond but after 6 months they're starting to leave residue in the washer/dryer....what a mess. The rug looks fine but some part of the latex backing is breaking down. Another store to check is Costco but color choices will be limited.

I think if you look at some higher end linen stores online, you might find something that will work. I can't recall the place I bought my fav bath rug, but it looks similar to the Palacio here, which comes in a green design. I think mine was a Habidecor brand? Here is a link that might be useful: Horchow bath rugs

Waterhogs were too pricey for us (we needed a rug around 5x7'ish since our mudroom has two entry doors and the two smaller rugs we tried didn't really work, but the 5x6' Waterhog was almost $200!) so we bought a bound remnant of commercial level-loop olefin (polypropylene) carpeting at either Lowes or Home Depot, can't remember which, for about $20. They were rolled up and standing on end in a very large cardboard box, and there were a bunch of different colors, textures, etc. I picked "dirt color"! LOL We had a parking spot paved last summer, before that we were parking in the yard when street parking was not permitted due to snow which meant lots of dirt and mud, but this is New England and you could make a small beach with the amount of sand and salt and dirt that gets tracked inside over the winter even with outside doormats. Now we're well into mud season, which is exactly what it sounds like! This cheap carpet did and does a fine job of catching the snow, sand, dirt and mud, assuming one is not wearing deep-treaded boots in which case you really need a shoe/boot brush outside. When we vacuum the mudroom rug we fold it over and vacuum or sweep underneath since the sand just sifts right through the backing and rubbery nonskid mesh stuff we put under it onto the vinyl floor, and at the end of mud season it goes out on the deck for a thorough hosing-off. That's one of the nice things about olefin, it's so easy to clean. I had one olefin rug that had to have been 10 years old when I passed it on to someone else because it didn't go with anything I had anymore, and before we gave it away we gave it a good hose-down with rug shampoo and except for the cat-clawed fringe (the only things she ever clawed were rug fringes and carpeted stairs!) it looked nearly as good as new! The mudroom rug is still looking surprisingly good for how cheap it was, possibly because it's commercial carpet rather than residential. When we redo the kitchen (which will include the mudroom, laundry, and half bath, as they are all sort of one unit) I'll probably put down an olefin braided rug, which are sold as indoor-outdoor rugs - they're even reversible when one side starts looking a little tired so you get twice as much life out of it - because a homey braided rug fits the style of the house, a plain little "Victorian Lite".

Do you mean standard machine washable? So far as I know, no mfg makes rugs larger than 4x6' for machine washing, and it takes a commercial washer to do that size. What size are you looking for?