Riding in the rain, or just going for a ride as we call it around here as it rains more often than not. No big bother.
For me, my clothing is dependent upon the temperature.
Warm weather....just a jersey and cycling shorts. I was once caught in a downpour that was so severe, each raindrop felt like I'd been shot with a BB yet once the storm passed my clothing dried out before I even get home. (I ride a recumbent, think about that one for a minute.

) Light weight clothes dry quickly if the rain stops and you're dry before you know it.
Cold weather....I usually only commute in cold rain, not prone to leisure rides in cold conditions. I wear rain gear that doesn't breath and I find that I stay relatively dry if I don't push too hard, and I stay warm.
Foot gear....Having worked in wet conditions my whole life, I'm accustomed to wet feet so I don't worry about shoe covers. I'm no help to you there.
Head gear....I always use a visored helmet with an exterior rain cover. Keeps your head warm and dry and does a fair job of keeping the glasses clear of raindrops.