Not many options, but more than there used to be.
KRG offers a couple different lefty options if you're going with something in a Remington 700 footprint. Same with MDT and MPA. Lots of XLR's options, if not all of them, are ambi if you're going with a 700 footprint. I've heard some of the t3x stocks/chassis can be modified to work with a t1x, but I don't have experience with that myself.
There are numerous 10/22 options that are new or not yet in stores and look quite good. A custom 10/22 of course isn't lefty, but is easy enough to run left handed.
For true left handed rimfire chassis'.. we're kind of left out of anything in a low or mid tier price range. Right handed shooters have options for CZ's and Savages among other platforms.. but I have not seen anything for a lefty that did not require a very expensive custom action with a centerfire footprint. I looked and decided for under $2k the best I could do is a good 10/22.