I actually do have certain powers.
Once, I promised that I would only use my superpowers for good. But in this place in Velva, North Dakota, on a bet, accidentally set half of France on fire with my telepathetic powers. I never liked escargo anyways, but at least I won $50.
Tripler
I told 'em I was sorry. . . 
Um, how about a drunk, naked American mysteriously appearing in downtown Pyongyang? (North Korea). Of course, that’s a death sentence, much worse than simply dumping them in the middle of the Sahara.
But if I had these kinds of teleportation abilities, you’d better believe that someone attempting to mug me would find himself in the most interesting of places…
Of course, the OP says Psychic and Telekinetic. Frankly, I’d rather have Telepathy and Teleportation. Not only could I do the above, but I’d be the ultimate serial (killer, rapist, whatever) hunter, with no nasty mess left behind.
Sahara for this guy, Antarctica for that one.
Guess what, asshole. You’re going to get to see Earth from orbit. Right now.
… I don’t hate anybody, I think…
But OK, sometimes I get really mad at someone. I think I’d do something like change their mind, literally, for just long enough for their whole family to decide the person in question has been abducted by aliens or something, I’d set it up so it would wear off by itself in due time. You know, if it’s someone who uses the F word every other word, make them unable to stand profanity? If it’s someone very tightfisted, make them feel suddenly very generous? If they don’t know the difference between a poncho and a tablecloth, make them very fashion conscious? Nothing earthshattering, as they’d go back to what passes for them as “normal” but enough to make a fuss.
Road rage!
I’d be very careful with it, and would only select the real arseholes, but the possibilities could be endless - but usually involving vehicular levitation.
Assuming I have The Works™ I would convince them either ghosts are real or they’re going mad (depending on how they view the incidents).
I’d start in meatspace, casually mentioning something to them (or a mutual friend, most of my enemies and someone we both can talk to, so I may just mention it to them) that I had been reading about around their neighborhood, from textbook horror movie cases (indian burial grounds, murders, whatever), hell, I may even check public records to get something that happened in the vicinity (I could look into the past with my powers, but I would want something verifiable in case they want to look it up).
I’d let that sink in for a few months. Just sit on it and do nothing, we’re looking for seeds. Too much too fast and it’s game over (they’ll leave but I don’t think they’d be as scared if it goes too quickly).
After enough seeding time (probably until Halloween or the next equinox or something equally “symbolic.”) I’d start with small stuff. You know, move books around, break a glass, open the cupboards while they’re not there, maybe open a few medicine bottles. I’ll keep doing this on occassion until I hear them mention it, then phase 2 begins.
Still boring, remember, slow and steady. I’d start moving larger objects though. Wait, wasn’t that rocking chair on the other side of the roof? What is the computer doing in the bathtub? I’ll also leave the doors unlocked (seriously, picking locks with telekenesis is cake, just move the latch) to confuse them.
Once they’re logically convinced someone is breaking into their house, the people I know would probably opt for the security camera angle. This is the fun part, since I can overload the components temporarily, and manifest light etc I’ll step it up. Random orbs before cameras mysteriously go missing, the house being in shambles. A hooded apparition (depending on how well I can manipulate stuff of course) appearing, just 'cause. Once they’re convinced something not-right is going on, I just go haywire one day while they’re at home, messages on the wall, chairs moving while they’re not in the room, maybe even gently fling a picture frame or two their way.
If they bring in a paranormal team: I stop, just dead stop. After they leave, I pick it up again, if they do it again I keep doing it until the teams get fed up with their seemingly false alarms (well, at least the ones that don’t make shit up all the time). Then I’ll have one more big bang, hopefully I can induce a sleep on them (with my powers, maybe some sort of empathic bond) and put everything back exactly the way it was while they were knocked out.
If they evacuate, I follow them and do the big bang sleep again. Then I destroy any evidence (including any equipment used to record it), preferably using telekenesis to meticulously deconstruct the stuff molecule by molecule but I’m not picky, maybe I’ll just throw it in a lake somewhere. Then laugh as everyone is convinced they’re stark raving mad.
See, that one is too obvious. You’re exposing the secret.
Simply unscrew all the lug nuts on one particular wheel while they’re at speed. Of couse, be mindful they don’t take out an innocent bystander on that one.
Or punch their gas pedal and make them roar past that cop, swerving violently.
Stop at the next traffic light? Why aren’t you going? What do you mean your brakes are all locked and fused? How the hell did that happen?
Lock up just the front left brake while they’re moving, similar to the wheel thing, but not explainable after the fact.
“How the royal blue fuck did the pistons all become disconnected at the same time, within the engine, without any actual damage?”
“Sir, was this car hit by lightning? Your computer CPU is melted.”
See, subtle (non-obvious use of skills) can be so much more fun.