To get maximum aperture at a wider angle, I suggest looking for used lenses, too.

For instance, the FA 35mm f/2.0. It may be hard to find, though. I own(ed) both this FA and the DA 35 f/2.4, and found that they both are somewhat lacking in image quality at full open aperture, e.g. they both have rather strong so-called purple fringing at high-contrast motives, especially towards the corners. And that's what makes the DA a fairly cheap lens, IMO: The use of cheaper materials (e.g. plastics vs. glass) for the individual lenses causes more visual artifacts. And then there are newer materials that are even better but more expensive. So, if you get a "fast" standard lens, I'd prefer the old FA 35mm over the DA 35mm for the extra half apterture step. However, the anti-glare coating may be better on the newer lens, which may be important to nighttime pictures with lots of spot lights. But the good thing is that the FA 35mm does not lose value - if you get it used, and you don't like it, you may be able to sell it easily again without loss.

I also have the DA* 55mm, and find it not so great, either. Weather sealing is nice, but it has quite strong chromatic aberrations (at widest aperture). I prefer the much cheaper DA 50mm f/1.8 as it's much lighter to carry as a second lens around and good enough for my casual picture taking.

Also, consider a better zoom lens, such as a f/2.8 in the 18-50 range. I own both the DA* 16-50mm and the Tamron 17-50mm. I like the Tamron much better, and it's much more affordable, only lacking the weather sealing. The Tamron is usually my default lens, and then I may carry a super wide angle one (back then, there was only the Sigma 8-16mmm, but now there are more choices from Sigma, though they're rather expensive).

See the 30mm f/1.4 and the 18-35mm f/1.8 by Sigma.

I can also recommend the Tamron 90mm f/2.8. That's not only a fairly "fast" telephoto lens (e.g. for portraits) but also a macro lens. Opens a whole new set of opportunities.