If you don't mind limited longevity and sillage I find most of CK's stuff, with the exception of some flankers, to be fairly safe, innofensive and cheap. IN2U, One, Be, Eternity (for men), and so on. Obsession for men is the only one I could see causing problems, but then again I also think it's one of their better fragrances. Most colognes, particularly newer ones. Eau de Cartier, Lalique, CDG's cologne series, Cologne du 68, and quite a few by Roger & Gallet, Trumpers and Royall Lyme. Others: Lanvin l'Homme and Vetiver, Chopard Pour Homme - these three seem like typical 'office safe,' scents and are all dirt cheap - Aqua Allegoria Herba Fresca, Caron Pour un Homme and Yuzu Man. The last is probably considered Caron's worst masculine, but that to me is what makes it safe. Very few of these will wow you, but they're also unlikely to leave you doubled over in the bathroom hugging your toilet. The reformulated Worth Pour Homme (for older guys), Mont St. Michel Naturelle (simple, fleeting EDC lead by bergamot, half a liter for under $20) and Fraicher Intense (cooler, minty EDC, equally fleeting, equally dirt cheap), Zino by Davidoff, or Cool Water if you're younger, Givenchy Into the Blue, Pour Homme Blue Label, and the reformulated Xeryus. Eau de Hadrian, Eau de Guerlain and Eau Savage.
Out of all of these the cheapest are the safest. In my experience the more you spend, the higher your expectations. That said I believe all of these can be safe blind buys under the right circumstances. I would not recommend the majority of them to long-time fragrance lovers who demand complexity and want to be wowed, but for more modest collections I think most of these represent safe bets, and are quite wearable under the right circumstances.