Jamie, I second Rick’s questions, more 8nfo needed. Also, this is a very subjective subject. Their is not one good “all around” Zoom lens for a Pro Camera, their are many choices here. You might as well ask, “recommend a good looking woman or man”
what I like, you may not.
Given you have the Pro G2, you have and EF mount, so a few choices on Cinema style Zooms with option for a zoom Servo, or you can use the EF still ca era zooms, which in my opinion are not optimal for Cine/video work. Using zooms, designed for still cameras are not the best option either, hard to focus manually, and not parfocal on the zoom — but they do work, which extra effort on your part.
Then you can change the camera mount to PL, and have a whole new range and choices of options. I like the Angenieux Cine Zooms, used ones are available for reasonable prices, but you are still looking at $5-10K. Also Zeiss. Ames some nice Cine Zooms, and both now offer a lower-zoster Cine Zoom option, which I think are nice contenders.
Other options are the new Tokina Cine Zooms, very nice IQ and they come in both EF and PL mounts. I feel PL mounts are best, especially for large, heavy Cine Zooms.
You need to look around, all will work well with the Ursa Mini Pro, so it depends on how you want to use the camera, what your shooting style is, and what you are shooting. Nature shooting requires longer zooms, while shooting a scripted production will want wider angle zooms.
Cheers