Completely depends on the application as 'analog IC' is a massively broad term.
It comes down to price, performance, package, environmental rating, required external components, availability(location, volume, distributor), etc.
If your coming at it from the hobbyist perspective then your choice is usually driven by low unit count availability (e.g. can I buy just 1 from digikey?), easy to breadboard package, example usage from some other source, is the thing stable with minimal breadboard-able external components?, etc.
You can't just look at the numbers on a datasheet and expect it to 'just work' when tossed into a design. Some devices will work like this, some will work poorly, some won't work at all. I've seen/heard of lots of hobbyists go to digikey and buy some 50Mhz high end super duper opamp and toss it in a breadboard only to spend the next 2 weeks trying to figure out why their circuit oscillates. Another example is going out and buying what looks like a similarly specced part at first glance but the part has a different mode of operation which causes small, but significant changes in the required implementation that are often overlooked.
So one important metric is how resilient a part is to 'poor' designs. I don't mean to sound insulting, but there really is a lot more to analog design than copying an opamp topology off wikipedia. Simple, highly stable parts will allow such an approach but generally have limited performance envelopes.
I've seen production designs have this issue as well. e.g. It worked on the prototype but no one looked at the circuit stability and it was teetering on the edge such that in the first test run 5 out of 100 failed or there are intermittent failures that seems to happen completely randomly. Another example is a prototype run was done but someone didn't properly consider input/output impedance, input current, quiescent current, required decoupling, etc.
In summary the metrics used vary widely by application and needed performance. For hobbyist use its best to stick with simple, stable and resilient ICs that come in easy to hand work packages which have been used in other designs you've seen on the internet. Even so you may run into troubles just copying the design. I've seen the contact capacitance in breadboards throw all sorts of seemingly simple op amp circuits into oscillation.