Porygon2
Porygon2 is an amazing user of the Eviolite. It makes his bulk virtually (ha ha) unparalelled, and is made even sweeter by its access to Recover and Trace. Porygon2 is definitely right up there with Chansey.
Ferroseed
Ferroseed with Eviolite is a common sight in LC, NU and even UU at times. It has access to stalling moves like Leech Seed, making it a good user of SubSeed. While it doesn't have access to Leftovers like its big brother Ferrothorn, it is able to hold its own in three tiers.
Dusclops
While Dusklops doesn't have as much pizzazz nowadays, he was an absolute Eviolite monster a few generations back. He had a deadly Rest/Pain Split/Ice Punch/Night Shade set that could tear up unprepared teams. However, soon Ghost-type defensive giants such as Jellicent and Aegislash came and stole his thunder.
Honourable Mentions
Doublade, Gligar, Golbat, Rhydon… basically any not fully evolved Pokémon with decent defenses. Also, Eviolite is the most common item in the LC tier, so you could say that the majority of the stage-one Pokémon (Pawniard, Rufflet, Omanyte, etc.) are good users of Eviolite.
Here is a list of all Pokémon with Eviolite recommended as part of their sets.