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#1 Stamina Nightblade - currently this setup that has the highest DPS in the game. It can reach the highest possible single-target DPS which none of the other builds can get close to. However, Stamina Nightblade's rotation can get tricky, so getting to the top tier level will require a lot of practice. 
Our recommended build: Stamina Nightblade PvE DPS

#2 Magicka Nightblade - both Nightblade's specializations occupy the highest Tier. While the rotation may seem more difficult than other ESO classes, the results tend to be very rewarding. Magicka Nightblade has great potential in both single-target and AoE encounters. Thanks to Soul Harvest and Catalyst passives you can use your Ultimate twice as often when compared to other classes as well. 
Our recommended build: Magicka Nightblade PvE DPS

#3 Stamina Dragonknight - Jack of all trades among the top-tiered DPS builds. Stamina Dragonknight provides very high sustainable DPS thanks to empowered melee attacks and DoT mechanics. At the same time, Stamina Dragonknight is a versatile build which offers at least several viable build paths.
Our recommended build: Stamina Dragonknight PvE DPS

#4 Magicka Sorcerer - one of the best spell-caster DPS characters in the game. Magicka Sorcerers offer very high sustainable single-target DPS and an entire arsenal of powerful AoE spells and crowd-control effects. 
Our recommended build: Magicka Sorcerer PvE DPS

#5 Stamina Warden - while Wardens may not be widely popularized as a solid DPS class, if played correctly they are a force to be reckoned with. Currently, they offer the highest AoE in the game and high sustainable single-target DPS. At the same time, Warden offers fast-paced and extremely enjoyable playstyle
Our recommended build: Stamina Warden PvE DPS

#6 Magicka Templar - flexible DPS class which can be played both as a Melee and Ranged. Both variations offer very similar DPS output, making it a very interesting pick
Our recommended build: Magicka Templar PvE DPS

#7 Magicka Dragonknight - Dragonknigths can be a very powerful spell-casters as well and reach their full potential in melee range. Their skill trees provide a lot of powerful fire-based AoE and DoT spells, however, when compared to Sorcerer, their Resource Management may seem more tricky at times
Our recommended build: Magicka Dragonknight PvE DPS

#8 Stamina Sorcerer - a solid DPS class with high single-target and AoE damage. Stam Sorcerers also provide reasonable self-sustain and defenses with Magicka shield. They also offer quite easy rotation based mainly on Light Attacks enhanced by Bound Armaments
Our recommended build: Stamina Sorcerer PvE DPS

#9 Stamina Templar - very solid DPS class with very good self-sustain and high Stamina pool and relatively easy resource management. Stamina Templar offers very good group utility making it a very reasonable choice even with better DPS classes around
Our recommended build: Stamina Templar PvE DPS

#10 Magicka Warden - at the current state, you shouldn't even consider picking Magicka Warden as a DPS class. Getting this class to do real DPS in Trials and Dungeons is just a waste of time and effort
Our recommended build: Magicka Warden PvE DPS

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END NOTE

This is an early version of our list, and we hope to upgrade and update it for all the upcoming updates and patches. We are looking to your feedback, as our personal experience and testing capabilities are surely limited. You should also understand that it's just a simplified list - we are fully aware that will be specialized builds from theoretically lower tiers that may surpass anything under certain circumstances.