Just for clarification, a summer tire can be a rain tire. Summer tires are basically not rated for snow.

In general the Kumho 712 feels like it has pretty good traction characteristics for someone who does not have a lot of experience with high performance tires. They're a good "starter" tire if you're getting into autocrossing or road racing because they have progressive handling characteristics but their limits are reachable enough to learn how to handle at the limit. Usually when people step up to something nicer than the 712's they realize how much better the new tires are, but having started out with the 712 they understand how the car is supposed to handle at the limit. Not to say that you have to start out on a set of 712's, but it's sometimes a good idea to use less than the absolute stickiest tire out there if you plan on easing yourself into true "high performance driving."

Now my recommendations for people who are not going to be on a track, and want the stickiest tires possible. Right.

GSR96 - In 205/45-16 I would get the Goodyear Eagle F1 GS-D3. These are considered "maximum performance" tires by tirerack and will provide really really good dry wet traction. Tires like the Sumitomo HTR-Z and Yoko Parada have harder rubber compounds which will provide longer tread life in exchange for a bit less dry grip.

WiLL - the Azenis are not as good in the wet as they are in the dry, but they are by no means dangerous. The rubber compound does a good job of sticking to the road but the tread doesn't provide a lot of hydroplane resistance.

For 98Integra - The Kumho MX is a great tire, it's very similar to the Bridgestone S-03 in terms of its balance of wet and dry performance. They're a good bit cheaper than the S-03 also.