Don't get too caught up in thinking of "good" generals as meaning UR. It's actually better to think of "good" generals as meaning four star, level 55 generals. UR generals are only marginally useful because it takes so long to get them to four stars. You kind of have to pick, this will be the one UR general that I'm going to use, and assume that the rest won't have a spot on your team for several months because you'll reserve any UR EVO or Universal EVO cards you get for that one general.

Zero star UR generals might seem all right when you're fairly new and don't have good gear yet. But they can't use any remotely good gear, as they're capped at level 35, which is absolutely crippling. Eventually, you get good gear and need to be able to equip it.

The four generals that you want right now are:

UR Tiger of Kai
UR Master Strategist
SSR Sanada Yukitaka
SSR Takeda Shingen of Kai

And you want about as many Takeda Shingen of Kai as you can get, as Koyo Gunkan is a great skill to inherit. I have five separate copies of a four star Takeda Shingen of Kai. That's not insane luck from drawing her; that's having used 19 SSR EVO cards on her, which is a large majority of the SSR EVO cards that I've ever had.

For a fifth general, right now, I'm using Mori Motonari, as that's the best other level 55 general I've got. There are several generals that I'd replace her with if I had a level 55 version:

UR Taikou Hideyoshi
UR Sanada Yukimura (S)
UR Bear of Hizen
SSR Akechi Mitsuhide (S)
SSR Naoe Kagetsuna

There are a lot of UR generals not on that list, and I expect SSR Naoe Kagetsuna to be the one I end up with, simply because she's not UR and not an event general that you can't get anymore. I actually do have a one star Taikou Hideyoshi and a zero star Akechi Mitsuhide (S), but they're not worth wasting EVO cards on.

The above is talking about PVE. PVP is different, as very high damage will take off massively more troops than your opponent has, which can easily kill you with reflect damage. Combinations of Takenaka Hanbei with Uesugi Kenshin or Dragon of Echigo are popular in PVP for that reason, and nearly always of the corsair class, even if it's a temple player.