The types of adventures depends somewhat upon what kind of background the characters choose. Many adventure ideas can be run from either side, with the charactors trying to complete the adventure deed or stop the deed.
This is mostly for a Mafia based group, although the feud could be against an anti-psi, or a pro-psi group with a different agenda. This could be an on-going thread, with many sub-adventures.
A good hook for this is a gambling fiasco. The party is doing their normal form of gambling, i.e. cheating at dice or roulette via TK, or slot machines via Coilers, or similar. The person or casino they rip off though has connections to the Mob. The Mob wants to talk to the party. Of course the party will be easy to find at first since they are staying at the hotel. If the party has the skills, they could teleport home, but even then the Mob won’t give up. This could expand into a general feud between Psi Corp, the Mob and the Federal government. Psi Corp catches Mobsters and turns them and the evidence over to the government. Psi Corp could also do some hits on Mob protected businesses via teleportation, TK or anything else. The nice thing about ripping off the Mob is they won’t go to the police. They will hunt down people, but they have to know who did it.
The party is tasked by their secret society to perform some task. There is no apparent reason for the task. It is actually part of a larger secret society plan.
The party gets a chance to prove how psis can really help society. A natural disaster, whether large number of people or just a few individuals who are at risk is an option. Volcano or earthquake strikes in the Boston area (Blue Hills).
Use the immortal talent to stage a murder. Then the party would be able to blackmail the murderer. Or stage insurance scam. Could be a means to have the immortal die very publicly. Snuff films, or something.
Party has to protect somebody who is on the run from the government, another psionic secret society or an anti-psi organization.
Find or protect a psi boost or psi "sleeper" drugs or psi machines. Or destroy the secret lab that is developing such things.
Party tries a scam. They steal a dead body and leave it in a place where it scares people. Probably in the lobby of an apartment to drive down rents or to drive out tenants. It turns out that the body is that of the father of an important crime lord. The crime lord then tries to hunt down the perpetrators, but thinks the perpetrators were crime rivals. Somebody finds out the party did and blackmails them to carry out a murder. Party decides to kidnap the victim instead but still burn the house. Accidentally burn out the crime lord.
Party gets involved in a blackmail scam. Girl wants revenge against a corrupt cop who put her boyfriend away. She finds a schoolteacher who is screwing another female student. The second student is very rich via a trust fund. She blackmails the teacher to setup a harassment claim by the trust fund girl against the teacher. The trust fund kid loses the claim and turns over a bunch of trust money to the teacher. Setup fake murder of some sort.
Party must bust a psi run cover group. A psi is ripping off people. Job is to take the money, get video or audio evidence and block his power trip. Financial records are a plus to get. Could use a Coiler for getting financial records. Teleport for taking money. Psi Corp will provide info and such. Self-aware or immortal for rape or murder setup. Or setup a fake child abuse by using a self-aware. Telepath for hints. Null psi to stop the show.