I think a lot of dishwashers are on the right because most people are right handed. But you have to do whatever fits your kitchen and the way you work. If my dishwasher was on the left, i'd want my dish draining side to be on the left too.

That's what we thought too. Does anyone actually use this left handed set-up? We don't want to do it if it looks weird because the faucet hole won't be centered so it can not be reversed if we don't like it.

We have our sink like the one pictured above, small side on the left. Our dishwasher is to the right of the sink. Our 18" garbage/recycling pullout is to the left of the sink and also the end of the counter, so we put the dish rack to the left of the sink.

Most of the working surface is to the right of my sink so I wanted the bigger side there. It was a little harder finding a sink b/c like you said, pictures almost always show the smaller on the right.

We got a Ticor.

Here is a link that might be useful: Ticor S105-8R

In our old kitchen, we had a double sink with the disposal and small sink on the left. The DW was also on the left as well as the dishdrainer. It was an overmount, a Kohler, and I don't remember it being hard to find at that time. It felt comfortable. Maybe because as a kid the dishdrainer was on the left (there were 5 DWs and I was one of them ;)),, but the disposal was on the right and that always felt cumbersome.
In our new remodel, we have one large sink with 2 DW, one on each side of the sink. I still use the left more than the right one. No dishdrainer, and I'm glad to be rid of it!

In many cases, sinks only come one way so that's what people have. However, some sinks do have options (like my Ticor...the S405D has the small bowl on the right, the S405DR has it on the left).

Which side you put the small bowl is personal preference, neither one will "look wrong". That personal preference is driven by how you use it...and we each use them differently.

While cleaning up in our case we planned... The large bowl (on the left) would be used for soaking dishes/pots/pans and general rinsing, etc.
The small bowl would be used for soaking flatware & utensils.
Our DW would be on the right.
We decided there would be more dripping from the flatware & utensils so we put the small bowl on the DW side.
We put the Garbage Disposal in the large bowl b/c that's where we would be scraping and rinsing the most and the GD would be more useful there.

Everything has worked as planned!

Note: We have a Prep Sink for most of our prepping so the Main/Cleanup Sink gets used primarily for cleaning up and miscellaneous tasks (like hand washing) while prepping and cooking are going on.

So, do a few run-throughs to see what works best for you and your family!

Our small bowl and garbage disposal (and the trash) are on the left. The dishwasher is on the right. This makes the most sense to me as the kids bring their dishes to the sink, put napkins, etc. in the trash and scrape the rest into the garbage disposal. Then they get rinsed and either stacked in the big sink or put into the dishwasher. (Okay, most of the time they get stacked in the big sink.) Then whomever happens to be the most unlucky gets called back in to move the dishes into the dishwasher. Another unlucky one gets called in to put away the food that just got stacked on the island and somebody else has to wipe the table. After that everyone has to be called in again because the jobs are either incomplete or inadequate. After it's finally done we're all really happy the small sink is on the left.

So, if we have an equal double bowl undermount sink, would d/w on left and garbage disposal on left be acceptable?