Most psus in a decently high range (520w+) will come with a 20+4 pin mobo, 4+4 and/or 8 pin eat with either 2 or 4 pcie and a range of molex and Sata, floppy connectors.
This is normal, especially on psus designed for gaming purposes, not servers.
As far as the motherboard goes, its got nothing to do with what size psu you run. The gpu is everything. You can run any pc off a 300w psu all day long with no hiccups. Add in a power hungry dedicated psu, and the game changes drastically. Without knowing exactly what gpu you plan on, choosing a psu of adequate size is impossible.
The 80+ ratings are a voluntary certificate, not a standard by any means. All it says is that at 20%/50%/100% load on the psu it will maintain 80%+ efficiency. Bronze is higher, @83%, gold higher still, up to titanium. The offshoot of all that is that the better the rating, usually, the better the quality of build and components. Supposedly, that is. 2 things to think about. Some manufacturers have high enough standards that the quality series psu they build tend to actually live up to the rating they say it is. There are also some of the more disreputable companies who will throw "Gold" at you in an effort to mislead you into thinking the psu is better than it actually is.
The psu is the single most important component of any in a pc. It is directly connected to everything that runs, moves or thinks, any cpu will do, any gpu or none will do, any mobo or drive will do, but a bad quality psu, with lousy voltage outputs and amperage regulation and seriously choppy ripple will guaranteed destroy any hope of happiness with multiple errors, blackouts, shutdowns, bluescreens etc, not to mention simply catching fire (literally, on fire, it was even video recorded with multiple brand new units that never got to 100% load before bursting into flames). Quality, quality, quality. Go cheap and you'll end up replacing something sooner or later, and that means anything from the mobo to cpu to gpu usually.