Where would one start looking for a left handed action for a 30-338Lapua Imp? Im not set on any one caliber just wanting something a little different for a long range shooter.
First, figure out what your desired case base diameter is, then find out which other cartridges use the same size base.
Keep the search in the realm of cartridges which have similar max CUP per SAAMI.
Finding left hand actions isn't too difficult, but finding them in the heavier cartridges can be challenging, and definitely more costly.
Once you determine which cartridges are compatible, you can select an action that will work for your application.
Then, you can find a barrel, and have it reamed for your application.
I Strongly recommend that you find a competent and experienced gunsmith for that process, as it's really easy to screw up and get the headspace wrong, which can be catastrophic.
Once you've got your barreled action all set up, buy/make yourself a stock to fit your action and style of shooting.
Ultimately, you'll have (theoretically) a rifle ideally suited to you and your applications.
I'd also find a couple talented gunsmiths to discuss your ideas with, especially the older, more knowledgeable and experienced in such things.
It's a challenging road you're looking to head down, but once that's been done before. It's not impossible, but understand in advance that your quest can be accomplished, but the real question is, can you pay for it?