Wireless controllers are a must-have for anyone with a toddler or medium/large dog. Ever have to jump up screaming becuase a 3 foot creature in your home yanked a controller cable & you needed to stop your console tumbling off the shelf? It's not fun! Plus, it's nice to have multiple machines set up so you just press power & go without having a rat's nest of cables in front of your TV.
For the most part though, I really don't mind wired controllers. I don't have an especially large TV anyway, and it is nice to not have to pause mid-game to plug in a charging cable. I do get annoyed with the ones designed to run on AAs, though- the batteries drain faster, take longer to change, & the rechargeable solutions are often pretty junky. I shelled out for the official 360 plug n' play kits back in the day, and I don't think one of them still holds a charge now. I hook them up with the charge cable & just use them as wired controllers. The Xbox One packs seem a lot better, at least...