Looks like this place next to Reggies has got some new owners/rebranded. Now called Jack's Chicago Grill and has a Westside sister, rather than the original BMG on the south side, which I presume is still going?
Place seems pretty similar. Cheap eats, with tired no frills surroundings. Gyros still tasted good though.
We've never been to the now closed Big Mike's Gyros so can't comment on whether or not this is a big loss.
Jack's obviously has another location so they clearly have some experieince (which is a good thing). We did some googling and found that they have a 3.5 star rating on Yelp.
So there you go - a new place to get some grub. Straight forward and no fills.
(Hat tip: DN!)