This is a question which comes up from time to time, and I would be interested to hear views on it. I have not to date been able to find a book that comprehensively analyses the question. To set the ball rolling I set out below a sketch of the info I am aware of. This is not suggested by me to be complete or authoritative.
All four gospels are frequently given a range of dates for authorship from an earliest (lower) to a latest (upper) limit. One thing that stands out (to me at any rate) is the rather vague nature of a lot of the dating arguments.
The starting point is usually Mark.
There is external evidence. Based on Papias (c 100 CE), Irenaeus wrote (Against Heresies 3.1.1, c. 175-185 CE): "After their [Peter and Paul] departure [ie death], Mark, the disciple and interpreter of Peter, did also hand down to us in writing what had been preached by Peter." Thus, if the tradition of Markan authorship is accepted, Irenaeus indicates that Mark was written after the death of Peter, traditionally set in Rome c. 65 CE. Some argue that if the tradition is not accepted, the lower limit cannot be much earlier, time must be allowed for an oral tradition to have developed. The upper limit is usually set by the incorporation of Mark into the gospels of Matthew and Luke. If Matthew was written in the last two decades of the first century, the most probable range of dating for the gospel of Mark is from 65 to 80 CE.
Then there is internal evidence. Mark's chapter 13 (the "Little Apocalypse") is often considered to be an account of the events of the First Jewish Revolt, which took place 66-70 CE. For example, in 13:14 Mark draws upon a prophecy in Daniel 9:27 to refer to the desecration of the Temple by the Romans in 70 CE. Other references in Mark 13 also suggest it was written after this event.
Consequently, the period of five years between 70 and 75 CE is often advanced as the most plausible dating for Mark, within a broader possible timeframe of 65 to 80 CE.
Next Matthew.
It has been said that the "near-universal" position of scholarship is that the Gospel of Matthew is dependent upon the Gospel of Mark. This is the case under the majority "two source hypothesis" view that Matthew relied on Mark and another source (referred to as Q). Others who object to the idea of Q still maintain that Matthew is dependent on Mark (eg the Farrer hypothesis).
So the lower limit for Matthew is some time after Mark, a period of a decade or more later is often suggested as reasonable. I have seen it said that several indications in the text of Matthew suggest that Matthew was written c. 80 CE or later, although actual examples of this of which I am aware are few. One is the observation that Matthew contains a strongly anti-Jewish note running through it, from the teaching not to do "as the hypocrites do" in Matt 6, to the Woes on the "scribes and Pharisees" in Matt 23; and this may point to a date after c. A.D. 85 when the Christians were excluded from the Jewish synagogues.
The upper limit for Matthew is given by the fact that Ignatius of Antioch (writing in c 110 CE) and other early writers show dependence on Matthew, leading to a suggested latest date of 100 CE.
A range of 80 to 100 CE is commonly given for Matthew.
On to Luke.
The two source hypothesis places Luke's lower limit about 10 years after Mark. Luke and Acts are considered to be by the same author, and it is sometimes put forward that the Gospel of Luke may be as early as 62 CE because Acts does not narrate the martyrdom of Paul. But (a) it does not follow from the absence of an account of Paul's death that Luke/Acts was written before that event, and (b) unless Luke is to be credited as a prophet his gospel does in fact refer to Paul's death (eg Luke's awareness of Paul's death is indicated in Paul's farewell speech at Miletus: "But now I know that none of you to whom I preached the kingdom during my travels will ever see my face again. . . . When he had finished speaking he knelt down and prayed with them all. They were all weeping loudly as they threw their arms around Paul and kissed him, for they were deeply distressed that he had said that they would never see his face again. Then they escorted him to the ship." - Acts 20:25-38). At the start of his gospel, Luke himself says (to his patron, Theophilus) that "many" had already written accounts, which Luke would like to set in order, after further careful investigation - these many accounts almost certainly included Mark, and could well have included Matthew and Q.
FF Bruce wrote that "It is difficult to fix the date of composition of Acts more precisely than at some point within the Flavian period (A.D. 69-96), possibly about the middle of the period. The arguments by which Sir William Ramsay, late in the nineteenth century, concluded that it was composed about A.D. 80 are precarious [Pendragon does not know what these arguments comprise], but nothing that has been discovered since then has pointed to a more probable dating."
As for an upper limit, this also is difficult. Marcion had a form of the Gospel of Luke from which he derived his Gospel of the Lord, which sets an upper bound of around 130 CE. But most seem to think this far too late (eg because Acts makes no reference to Paul's letters).
The usual range quoted for Luke is c 80-100 CE, but on what I know at present the basis for both these limits seems rather tenuous.
Lastly John.
John seems even more difficult. If John knew Mark's gospel, that would set a lower limit, but I am far from clear that it is definite that John DID know Mark. There seem to be good arguments that the text demonstrates knowledge of the destruction of the Temple in 70 CE.
I have read that "most scholars today" see the historical setting of the Gospel of John in the expulsion of the community from the synagogue. They link the composition of the gospel with a date soon after the Council of Jamnia in 90 CE, which is supposed to have promulgated such an action. This approach would date John after 90 CE.
As for an upper limit, the oldest fragment of the New Testament, the John Rylands fragment, attests to canonical John and is dated paleographically to c. 120-130 CE. Apparently the earliest textual reliance on John is, curiously, in gnostic texts dating from c 120 CE. Irenaeus states that the purpose of John was to rebut the teachings of Cerinthus, a gnostic Christian teacher who lived in Ephesus at the end of the first century. I have mentioned elsewhere that Elaine Pagele argues that John was a response to the Gospel of Thomas, a gnostic text that is often dated to the end of the first century.
John is often suggested as c 95-110 CE.