Part of the reason why it's hard to get into or recomend anime is that a) a lot of it is explicitly made for teenagers/otakus, and b) most current anime fans got into anime as teens through "a)". The gateway anime for most fans (and the largest percentage of anime produced) is mediocre by design.
And it's not like that's all anime has to offer. The entire reason I got into anime was because it was so different from western tv/film, and from show to show. But that difference can make it really hard for people unfamiliar with it to understand or appreciate an anime for what it is, rather than how it fails to be like what they're used to.
Off the top of my head, 7 9/10+ anime with few to no tropes
Mushishi: a slow, sometimes surealist anthology series about a man traveling and researching otherworldly creatures called Mushi
Welcome to the NHK: a black comedy about about anxiety and depression. It stars a 21 yo unemployed shut-in, who on his first day of college started suffering from severe anxiety and eventually agoraphobia which left him locked in his one bedroom apartment for 3 years.
Wandering Son: the story of 2 transgender kids (1 boy, 1 girl) growing up, and the struggles they face both internally and externally.
Technolyzs: a dark, dour, depressing dystopian future about the base nature humanity, classism, transhumanism etc... A cyberpunk story that isn't a direct rip of blade runner.
FLCL: an absurd, high octane comedy/action (not) coming of age, 6 episode (not) amv for the (not) Japanese Pixies cover band the Pillows about giant robots, guitars, puberty, and what it means to be an "adult".
Hajime no Ippo: fun Japanese Rocky
Nichijou: over the top gag series about the normal life of 3 highschool girls and a mostly unrelated family of a genius 8yo, her robot/older sister surrogate, and their talking cat.
In order: to borring/slow/not enough plot; who wants to watch a looser deal with depression for 26 episodes; that's not my thing/but what's it about; it's too depressing; it's too weird; but it's animated sports; it looks like anime.
I can count the number of non-anime fans who would sit down and watch most of these shows on 1 hand. It's easier to just throw out Attack on Titan (which isn't bad) or whatever the new popular isekai is and hope they stick around long enough to see the 7-10s and learn to appreciate them despite their tropes.