New player here 
I really liked the Sorc’s Teleport in D2, or the Barb’s Leap as well as any other movement-enhancing skills to assist in getting around quickly. I also enjoy having a lot of situational (but still useful) skills on hand, rather than just having a LMB/RMB and maybe one other Active skill.
Are there any builds that are really enjoyable to play, still with decent kill speed for farming, but may also have elements of the above?
Spellbreaker in general is roughly what you are looking for.
Is Spellbreaker still OP as all get out?
I thought they got nerfed hard.
(I don’t count Callidor play as a SB. )
The Shadow Strike spam build got nerfed, but there are plenty other spellbreaker builds that are still very viable. Cold/pierce similar to Blademaster for example. Also I have a TSS spellbreaker that is super fun and pretty strong imo after getting buffed twice in the last patches.
Blademaster is the most mobile. 2 charge skills, 2 movement speed boosters.
This game doesn’t really have that many utility skills. Most non-damage skills are generally statistical damage/toughness amps. A few crowd control effects, and that’s it really.
How does Saboteur compare?
For a first time player, a Saboteur is probably the best option. Blademasters require a lot of gear and CDR spellbreakers were just nerfed. A Saboteur has high move speed, shadow strike, high damage, and is also easy to gear for.