I
The AEON 2 Closed is a strong contemporary to the LCD-2 Closed Back. These headphones have a few similarities, but also, thanks to markedly-different tuning decisions, also sound quite distinct from each other.
The LCD-2 Closed Back has a leaner sound throughout, with a lighter presence in its lows through its mids. Bass is sculpted, with a snappier presentation, coupled with tight, fast beats. The Dan Clark headphone, on the other hand, has a warmer, fuller tonality. In contrast with its Audeze rival, the AEON 2 Closed has a more intimate sound; there is a touch more mid-bass, resulting in greater impact. If the LCD-2 Closed Back is light and swift on its feet, the AEON 2 Closed struggles to keep up, but makes its presence felt that little bit more with each step forward.
To be honest, if budget isn't a major concern for you, I'd rank the options in the following manner -
1) Audeze LCD-2 Closed Back
2) Dan Clark Audio AEON 2 Closed (just a smidgen behind)
3) Focal Elegia
The only reason to consider the Focal is its price. Otherwise, go for either of the top 2 headphones. They offer a more compelling and engaging sound.