That's a lot of categories that don't usually fit together (harssing and escapes, harassing and tanky), but there are a few champions that more or less work.
Karma is the god-queen of harassment in lane, and her E and RW make her VERY hard to kill (longest snare in the game, beating out Morgana by .25 seconds at max rank). Her E and RE make her very solid at repositioning and escaping, and a solid RQ can more or less one shot a squishy once you have one or two items. She can build glass cannon (Morellonomicon, Luden's, Rabadon's, Zhonya's), AP bruiser (Rod of Ages, Rylai's, Liandry's, Abyssal), and can be played very effectively as a support, as well.
Lissandra harasses and waveclears oppressively well once you get even a smidgen of AP, her claw is fantastic for escapes and engages, she builds naturally into tanky items like Rod of Ages, Abyssal Scepter, and Liandry's Torment, she has a Zhonya's built right into her ultimate, and in teamfights she's a one-witch wombo combo.
Lulu is the last one I'm going to recommend. Lulu can build basically whatever she wants to (tank, glass cannon, support), harasses for days, has not one but TWO spells that can be used offensively or defensively, and post-6 is essentially impossible to kill with fewer than three people.