In both the real world and in Worm, one can not view the future. One can take into account the many disparate variables that will likely lead to events in the future, but this is imprecise given the immense volumes of data involved. In Worm however, specialized thinker abilities use hyper senses to evaluate all relevant data points, calculate the likely interaction of same data points, and provide semi accurate extrapolation of the future. This provides as close to a window into the future as is possible to. 
An important point to note is that unless it is otherwise noted the use of these precognitive abilities creates "causality interference" with one another.  If two precognitives make prognostications about the future and provide this information to relevant groups these groups will likely work at cross purposes to each other while trying to influence events based on information their precognitives provided. Thus it is noted the tendency for those with precognitives to interfere with each others powers.
Eden's Perfect World Edit
As the Entities traveled to earth, circa 1980, this was the ideal future that The Thinker was modeling. Had everything gone according to plan this would have been the world of Worm.
As with the history of Earth Bet shards started appearing around 1983. In the years since though large amounts of people triggered with many powerful abilities.
Current Time-frame Edit
Ethnic and social tensions inflame the world. Certain groups are periodically and miraculously reinforced to keep from gong under when surrounded by enemies, this only prolonged conflicts. International communication is down, though the exact means are not outright stated.
Features- power differentials, entities placing restrictions on things Tinkers are able to create mass productions of their equipment much faster while still being safe.
You're talking about infrastructure, but quite honestly, infrastructure wouldn't survive the 90's. By the mid-2000's, getting food from the agricultural states to the areas with the highest population density (ie. New york) is a struggle, because of bandits, threats, organized crime, disorganized crime and more. Things come to resemble the theoretical Edenverse, but you don't have Eden shoring up the population by putting tinkers and capes capable of reviving areas anywhere particular (you also don't have her sabotaging). Scion ends up playing a pretty big role in keeping society alive, more than before, with keen attention to the biggest threats and only those threats. 
Thinker & Warrior Edit
This duo are two of the strongest parahumans in existance, but they are anything but what they seem.
Also known as Colin, he is a powerful tinker who works with Richter. Described as suspicious and paranoid. Squad leader in the Wardens.
Clarent who was equipped wielded a long sword and grew stronger over time. He is likely a version of Dauntless, this is supported by the tags for the chapter. was altered by Edan. Squad leader in the Wardens.
A man who has a special sight that let’s him sees powers he was altered by Eden within the vision to keep him from making the connection to the entities and the powers. Evidence points toward him being the intended version of Chevalier. Squad leader in the Wardens.
Richter was intended to be alive and well with several mature AI's working with him and keeping infrastructure together, and society stable.
The gunwomen serves in Partisan's squad, this realities intended version Miss Militia.
Black Knight Edit
Not seen but discussed. Like Jacob he is said to always win when sent up against parahumans. = Jack Slash "always" wins against parahumans.
The perfect world has its own form of endbringer and other s-class threats, these serve to increase the chaos on which the shards thrive, and keep the various regions of the earth separated and segregated from each other.
Dinah's abilities function by forming a mental image around a person, event, or object. This then allows her to predict the probability of that image coming to pass. She was able to affect the outcome of events by relaying information. She accounts for the changes created by telling a person the odds as well making her a rather accurate prognosticator.
Dinah has made several predictions about the end of the world and specifically Jacob's part in it. but has said that it could also happen several years down the line with the final terminal point being 300 years in the future.
Coil's power does not technically fall under this section. In the interest of clarity and addressing seeming inconsistencies it is included. His power is essentially to model the effect of his actions simultaneously holding the results in a superposition before "choosing" one reality or the other. Sources of "causality interference" interfere with his power, including most precognitives, meaning he can't make use of information-gathering powers again and again in different timelines.
Contessa doesn't really see possible futures, just the "steps" toward victory? Contessa is able to see the "path to victory". Essentially the steps one needs to take to get the outcome they seek. It can provide details on the likely hood of these outcomes and the effort involved in bringing about these same outcomes. She is essentially using her ability non-stop.
This to is not explicitly looking into possible futures but is essentially close enough for the purposes of this article, as she can choose how she attains the victory she seeks.
Effectively has it's own version of the Eden shard that Contessa "stole", it is not less efficient then Contessa's but rather Scion has effectively thousands of years which while massive is still a finite amount, and using a path to victory shard burns some of his lifetime away. He needs to package his time over what could be thousands of years, Contessa has at most a hundred years to use her abilities.
As an example, Zion modeled a trigger event 33 years in the future while refining literally millions of other shards for use on Earth. Further Zion looked at an alternate future where Jack Slash died and he decided to kill people of his own accord after talking to Jack.
The Simurgh is blind in the present; every action she takes is based on a vision she saw of what would happen. This is how she's able to dodge things so effectively, but it also allows her to predict how a person will behave years in advance if she focuses on them. 
Was able to set up the residents of Lausanne in general and Cody in particular to cause damage farther down the timeline.