Ryan's list is what I have for the campaign. The 7th Texas and 50th Tennessee flags are virtually identical in every way from the orange/red bunting to the one sided cross and stars.
Grant claimed over 80 flags at Vicksburg and despite orders to send them to the War Department none of them were. As Ken stated, they got dispersed among the officer and probably some of the men as well 9taken and hidden away and not reported perhaps). A few flags got smuggled out - 61st Tennessee First National (if I have that ID right), 39th Georgia's red version of the Bowen/Missouri pattern flag and Mrs. Bowen smuggled out two in the same ambulance that bore her deathly ill husband General John Bowen both of Missouri units and presumably the blue flags with red borders and white Latin crosses. I would suspect that some more got out as well.
So for the Vicksburg Campaign we have First Nationals, ANV style flags, Bowen/Missouri flags in both red and blue fields, probably a few Van Dorn flags and who knows what else. With such a tiny sampling of flags left from the campaign that is about the best we can do.
Union General Frank Blair, who commanded a division in the campaign, loaned two flags to the December 1863 Cincinnati Sanitary Fair according to a Cincy newspaper article listing the CS flags shown there. One was a Texas flag (2nd Texas probably) and the other a Louisiana regiment's. If they survive today I would bet that the Blair descendants still have these.