The InterContinental Mark Hopkins sits on top of Nob Hill with beautiful views in almost every direction. It is a former luxury apartment building converted to a hotel decades ago and now run by the Intercontinental chain.
This is an older hotel, but has been well maintained and updated. My room was comfortable, well-appointed, and had the appropriate electronic upgrades. Wi-fi was included in the price (it wasn't clear to me that that is always so, so you should check) and was perfectly fine for web-surfing, email, etc.
There is a restaurant/bar on the top level that you should definitely try to take advantage of. Even if you just want a drink, it has some of the best views in the city.
A couple of notes. This hotel is on a hilltop. I find walking in San Francisco one of the city's charms, but if an incline bothers you, you might want to consider Uber or a cab.
Second, there is a cable car line right out front. I could hear the bell clanging from my 6th floor room during the day. They don't run all night, so it wasn't a problem for me, but if you think it's an issue you might want to ask for a room higher up or on the other side of the hotel.
All in all, a classic old hotel that fits this sight-worthy city.More