Dates match: Pope Peter 40/41-64/67 or 32/33/34/35/44-67 or 30-33-64-68 (compiled from six different official popes lists). Emperor Nero Caesar reigned 54-68. Both dates coincide 54-68 (the whole of Nero's reign); both the end same date 67/68. (Pope Peter's start dates are different because of the fake association of pope "Peter" with Peter of bible.)
(Peter: 14th year Nero. Nero: reigned 14 years.)
Name match: Both names/persons Peter & Nero are associated with each other: Peter: "Peter was put to death in Rome by Nero". Nero: "Peter died during Nero's persecutions".
(The name Cephas/Kepha is similar to Caesar?)
(Both linked with name Caesar: Peter: Was connected with Caesarea Philippi (Matt 16). Nero: was called Nero Caesar.)
Peter had "a short bushy beard and good head of hair" (ref Wiki, compare Papa Smurf). Nero was the only emperor with a beard until Hadrian ("all Roman emperors before Hadrian except for Nero were clean shaven"), and Caesar means "thick head of hair, hairy".
Both associated with Caesarea Philippi. Peter: is associated with Caesarea Philippi in Matthew 16 (the famous "Peter and the keys" section used by Romanists). Nero: Caesarea Philippi called Neronias.
Both associated with choir/singing: Peter: In the Eastern Church Peter is called Cotyphaeus "choir-director" or "lead singer". Nero: "Nero was encouraged to sing and perform in public by the senate...." Nero "sang to the lyre". ("Nero fiddled while Rome burnt/burned". Vespasian fell asleep during one of the emperors lyre sessions.)
Peter hung on upsidedown cross. Nero considered antichrist 666.
Peter "died 67 ad, aged 66 y.o." Nero's name is 666 in numerals.
Both pontiffex maximus. Peter is bishop / "pope" / "pontiffex maximus" / "supreme pontiff" (Annuario Pontificio, Liber Pontificalis). Nero was pontiffex maximus (the emperors from Augustus to Gratian were pontiffex maximus). [The argument that the titles pontiffex maximus and pope were not used by/for bishops of Rome until later (mid-5th & mid-6th centuries) and so is an anachronism is not necessarily valid because bishop/pope/pontiff are still related/similar.]
Popes & emperors after Peter & Nero match all in order. 1 Peter (Nero) = Nero (Peter) 2 Linus = Vespasian 3 Cletus = Titus 4 Clement 1 = Domitian (Clemens) 5 Evaristus = Nerva 6 Alexander 1 = Trajan (Alexander) 7 Sixtus 1 = Trajan? or Hadrian? 8 Telesphorus = Hadrian? 9 Hyginus (Graecvs) = Hadrianus (Graeculus) 10 Pius 1 = Antoninus Pius etc. See each separate pope & emperor chapter for matches details.
Peter: Hermes' house. Clementine chapel. Nero: "Nero's golden house"?
There is no contemporary proof of any pope Peter/Cephas. The bible does say Peter was a rock, and given the keys, and it does say Peter was at "Babylon" which might be Rome, but it doesn't say Peter was bishop of Rome, and there is no proof that 1st pope "Peter" really was the biblical Peter. Though Peter is "widely documented in first and second century Christian literature". He is mentioned by 1 Clement (ca 96), Ignatius (ca 110), Dionysius (178), Irenaeus (ca 180/195), the Acts of Peter (ca 200), Tertullian (199), Clement (ca 200), Origen (248), Cyprian (251), Peter of Alexandria (ca 311), Lactanius (ca 318), Eusebius (ca 325), Cyril (350), [Ephraim (351)?], Ambrose 379, Damasus 1 (382), Jerome (393/396), [pope Innocent 1 (408)?], Augustine (411/415/416), the council of Ephesus (431), pope Leo 1 (445), the synod of Whitby (664), Bede (665), the Acts of Peter (7th cent), and "pope Silvester 1 built basilica of St Peter" (314-355). But this may just mean that they first came up with the popes/emperors correspondences possibly as early as Ignatius? Peter is not included on some popes lists which begin with Linus. Historians say the letter 1 Clement is spurious. Hermes' house of pope Peter might be either Paul's rented house (in 'Acts') or "Nero's golden house"?