I certainly don't like unexplained psychic powers unless it's a very central plot point (superhero-like), it's very unbelievable that humans would suddenly discover how to do that. Unless various technological implants allows us to access some sort of hidden energy; then I'm ambivalent about it, it's kinda cool and yet still a bit unbelievable.
Same thing with aliens, but if the aliens do have telepathy then it must be possible in the setting and humans should be able to emulate it with technology. It's not entirely unbelievable, but I prefer just leaving that trope alone.
Realistically you could actually get pretty close to telepathy with technological implants, though you could probably only use it with other people with receptive implants.
If it is achievable with technology it's imo weird and unnecessary but I can accept that. Mass Effect had cool 'psychic powers' because they were treated as something scientific, not paranormal: resulted from discoveries in physics, had strict rules etc. I have also nothing against technological upgrades connecting the brain with the Internet, or AI, or wonders like that, but I wouldn't call them telepathy or psionic stuff.
However I truly hate telepathy if it's 'organic', 'natural' and is used for an alien race as a lazy way to make it more alien without actually imagining something original. For example, alien without hands or way to move itself ---> telepathy explains it! Alien with weird, inhuman mind? Telepathy! Hive mind? Telepathy! It is almost never explored from 'scientific' point of view, or doesn't have any particular rules, and remains 'space magic' for me, much more than FTL travel or time travel. It is tired cliche and I really rarely encounter such 'paranormal abilities' in SF that manage to be more than shallow plot devices, or 'space magic'. I have even read Philip Dick's 'Ubik' which is viewed as 'the best book of a great SF writer' and 'one of the best books about telepathy' and I didn't like it at all so it's hard for me to imagine SF story where psychic abilities are actually explained and make sense.
Maybe one of the reasons why I hate telepathy is the fact I am studying cognitive and brain studies, and telepathy/psionic abilities grasp human mind so incorrectly they are
not even wrong; and they greatly simplify mind's sophistication. I rarely encounter SF which actually tries to imagine how different consciousness and different mental processes may look like; usually the top of unorthodoxy in that regard is magic telepathy/very tired hive mind cliche.
I also despise hive mind cliche but a lot of people love it. Don't get me wrong, I think the initial concept of hive mind - as 'shared consciousness without individual self' - is fascinating. The problem is. IMHO, the fact that great majority of SF stories don't go beyond the name 'hive mind' and don't actually imagine 'shared consciousnes' but trivialize it to idiotic 'there are a lot of creatures but each of them is mindless and there is one Big Brain who thinks'. This is the second cliche I hate in SF because it removes any effort from designing alien race - you don't need to think about this race's society, culture or language because they don't have them; you don't need to develop alien characters because this bastardized vision of hive mind has 'one sentient guy per race' - and of course you don't need to explore how it thinks because of some lazy bullshit 'of course it is completely impossible to understand by humans'. So, a lazy writer has an alien race which is completely alien and yet absolutely unimaginative; 90% of SF universes I have explored reduce 'hive mind' to 'mindless zombies and god, kill them all' idiocy. On top of that, 'hive minds' tend to be insectoids (of course - because every writer and his mother copies ants), telepathic (space magic) and 'fully biotechnological' which is simply ridiculous (sorry, you can't get nuclear fusion from biotechnology, no matter what).
So, two cliches I hate and view as bullshit magic are one of the most popular in SF fandom: psionic powers and hive minds. I have powerful enemies. On top of that, I also don't like most of AI depictions in SF genre (they either make it not a big deal, underestimating the sophistication of mind, or make it idiotic hitler exterminators) but at least AI is not magic so it doesn't qualify here
