Oris for me. After handling both, the Oris Aquis is better built. I also like the design and how it wears better. Oris is an "under the radar" watch that usually only us watch guys know about. Not a lot of dollars put into marketing. No real frills.
Tag to me comes off more "flashy." Tag goes in so many different directions (quartz, mechanical, smart watch, affordable pieces, more expensive pieces). I feel like Tag, because of name recognition, is very similar to Rolex in that it has that name that appeals to the masses (a lot more non-watchuseek than actual us watch guys). A couple of my friends and some of my customers own Tags, and none of them have any real interest in watches other than to have a luxury product they can occasionally wear on their wrists. My impression I've gotten from some Tag wearers is that it's a substitute for a Rolex without paying high price premiums (not my personal opnion but the impressions I've received from others). I'm not a Tag hater (or Rolex as I own some) but that's just my general impression of the brand based on my personal experiences. I am sure it varies by location and there's a good chance I will own a Tag one day.