These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Awesome Music: Most of the band's output up to and including Seasons in the Abyss, at the very least. The music after that gets a bit more... controversial, although Divine Intervention and Undisputed Attitude at least are still generally regarded as worthwhile.
"Angel of Death" is definitely the icing on the cake. 5 minutes of pure, relentless Thrash Metal.
The fast, thrashing riffs of Reign in Blood or the slower, heavier songs of South of Heaven? Reign In Blood is either the band's best album or their Jumping the Shark moment depending on who you ask, with a Vocal Minority of the fans preferring the Epic Rocking style of Hell Awaits.
And then, there are those who feel the band jumped the shark when Paul Bostaph was hired as their drummer and, particularly, when 1998's Nu Metal influenced Diabolus In Musica was released. God Hates Us All is similarly polarizing, with many going as far as to say that the album was even worse than Diabolus (although it did give the band their first ever Grammy nomination with "Disciple"). Fortunately, 2006's Christ Illusion and 2009's World Painted Blood mostly rectified this by shedding the Nu Metal influences and returning to the band's thrash metal roots.
Complaining about Shows You Don't Watch: The songs "Angel of Death" and "Jihad" take the point of view of a certain individual (Dr. Josef Mengele and a Muslim terrorist, respectively) and have had many people say that Slayer sympathizes with them. However, anybody who has read the lyrics can tell that they are not sympathetic towards them. The band wrote the song "SS-3" specifically to annoy religious groups. In fact, during the 90's Slayer used a variation of the Nazi Reichsadler (replacing the swastika with the band's name) specifically to gain attention.
When asked about "Angel of Death", Hannemann said "nothing I put in the lyrics that says necessarily he was a bad man, because to me – well, isn't that obvious? I shouldn't have to tell you that."
Religious groups have constantly accused Slayer of being Satanists. However, Tom Araya is Catholic and Kerry King is an atheist, stating repeatedly that he doesn't believe either God or Satan exist. Araya has also stated that he regards the band's lyrics as entertainment that "tries to scare people on purpose", and doesn't mind singing the anti-religion lyrics of some of their songs because it doesn't interfere with his beliefs.
Which is really hilarious if you consider the aforementioned Tom Araya wrote a song based on a rather infamous anti-abortion film most widely known in the very evangelical Christian circles condemning Slayer as a bunch of devil worshippers.
They have been accused of supporting Nazism, thanks to the songs "Angel of Death" and "SS-3" and their cover of Minor Threat's "Guilty of Being White" (which changed the phrase to "guilty of being right" at the end, which incensed Ian McKaye), and the fact that guitarist Jeff Hanneman collects Nazi medals and other war paraphernalia. The band has stated that they don't condone Nazism, and King mentioned that the racism allegation was "ludicrous" and the lyrical change of "Guilty of Being White" was meant to be a joke. Also overlooked is the fact that both Tom Araya (a Chilean) and Dave Lombardo (a Cuban) are of Hispanic descent.
Harsher in Hindsight: Because of various issues, the release of God Hates Us All was delayed until September 11, 2001.
Magnum Opus: Generally considered to be Reign in Blood, although opinions vary and some consider it their Jumping the Shark moment. Hell Awaits and South of Heaven are also quite well regarded; there is a small but vocal minority that considers Hell Awaits to be the band's finest work.
Some fans consider Seasons In The Abyss to be Slayer's best album.
On a musical level, the Nu Metal-influenced Diabolus in Musica and God Hates Us All will never be forgiven by some fans. Even King isn't a fan of Diabolus.
Unfortunate Implications: Some people took offense when God Hates Us All was released on...September 11, 2001. The band, however, had no control over this; it was just a "New Release Tuesday," with their album at least not getting pulled. No one could have predicted the events of September 11 and the release date was probably determined weeks, if not, months in advance.