T5p (2nd Generation)

Meze Liric and Beyerdynamic T5P Gen 2.  Like them both, almost equally, with A&K Acro CA1000T.   A combination of tube and digital amplification makes them sound fun, engaging.  And, they are quite forgiving to less than desirable recording quality.  Both of them are comfortable,  Meze feels and looks more luxurious. 

Pal is a old AF producer and engineer and he insists it's not possible to find more accurate reproduction than Beyerdynamic T5 (closed) and T1 (open) at any price.

If you can go just a little more, you can get HiFiMAN Arya Stealth. They are amazing, but you will need a decent DAC/AMP for them, so that is another thing to consider. If it's for your phone, then you will need a mobile DAC. Maybe the apple dongle is enough, depending on what you decide to get. If it's for home use, I would go for an open back. But if you also want to use them outside, you will definitely need closed back, otherwise it's like literally having two speakers playing in loud volume, annoying everyone around you. Closed back FiiO FT1 the budget champ. They are great. Apple dongle would be enough. For amazing but "boring" you have Sennheisers. 600, 650, 6XX. Another contender would be the Beyerdynamic 770, or 1770, or if you can find used T1s or T5s. Can't go wrong with either of those, and they will sound a lot better than your Skullcandys, which are dogshit (sorry!).