So far, from skipping to Warrior's speech, all they edited out were the remarks regarding Jerry McDivitt and the name change from WWF to WWE. That was about 30 or so seconds right there. Nothing else was edited from Warrior's speech.
Only 30 or so seconds edited from Lita's speech. Nothing she said was edited, but crowd reaction was edited between her speech between one of her pauses (it's a seamless edit and one wouldn't notice viewing the edited version).
The reposted HoF edited out a commercial for Drew Brees' charity and immediately cuts to showing HoFers like Sgt. Slaughter and Pat Patterson (the commercial aired between the end of Lita's speech and the showing of the HoFers).
Nothing from Jake Roberts' speech was edited, but again (between Jake and Mr. T's inductions) what was edited was a commercial for WrestleMania 30 focusing on the Undertaker/Brock match.
The A-Team Theme when Mr. T was introduced by his son was changed to some generic theme (not an edit for time, but an edit nonetheless). Mr. T's speech was unedited but his speech did close with the generic music and not his A-Team Theme. It appears that after watching most of this and comparing both the original and edited broadcasts, many edits are mostly concerning the commercials airing between inductions (the one between Mr. T and the Paul Bearer inductions being one for WWE Legends House).
Paul Bearer induction from Kane and the Moodys was unedited. Edited between the Bearer and Scott Hall inductions was another WrestleMania 30 commercial, this one focusing on the John Cena/Bray Wyatt match.
Razor Ramon induction was unedited. Another set of commercials edited between Scott Hall and Carlos Colon's inductions for WrestleMania 30, one for Randy Orton and one for Batista.
Carlos Colon's induction was unedited.
In total, the time discrepancies between the edited and unedited broadcasts of the WWE Hall of Fame are for the most part all related to the commercials between inductions and the one edit in Warrior's induction and the small seamless edit in Lita's induction. Hope that helps.