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.
Howard occasionally wrote stories that weren't screamingly racist, or at least had some non-racist plot elements. In the Solomon Kane stories set in Africa, most of them have something along these lines. In The Hills of the Dead, N'Longa the shaman can actually be read as the hero, since he does all the major work necessary to put down the vampires, while Kane just keeps the vampires off N'Longa's back during the process. N'Longa also speaks eruditely when he's using his own language...he just can't speak English well. The Bogondan villagers of Wings in the Night are presented as basically good people trapped in a horrible situation. During the The Footfalls Within, Kane attacks a band of Arabs who've been enslaving Africans, and is (temporarily) captured. A minor Arab character, who had only been traveling with the slavers' caravan for protection, is sympathetic to Kane's plight. In The Moon of Skulls, Howard makes the following point about the villainous African culture of the piece: "These savages are not like the other natives of the region. A latent insanity lurks in the brain of each and every one." (Mind you, Moon is still jaw-droppingly racist, but at least Howard managed to slightly ameliorate his attitude.)
Other non-racist moments show up from time to time. In Howard's historical short story The Road of Azrael (not public domain, but recently reprinted in Lord of Samarcand and Other Tales of the Old Orient), the viewpoint character is an Arab. Several of his horror/supernatural works feature sympathetic characters of color: The viewpoint character in The Thunder-Rider is Native American, while In The Spirit of Tom Molyneaux (aka Apparition in the Prize Ring) the hero (but not the viewpoint character) is an African-American, whom Howard actually describes as possessing "great nobility." In The Noseless Horror, Ganra Singh (a Sikh) saves the day at the end. Meanwhile, The Horror from the Mound features a Mexican who's got a damn sight more common sense than the story's white viewpoint character. Finally, The Dead Slaver's Tale and The Dead Remember feature black victims getting ghostly revenge on the whites who murdered them.
Also in his defense, he wrote some stories that showed plenty of racism existing between conflicting clans and tribes that were either purely imaginative, or all ultimately Indo-European, at least in name. Picts? Northern Britain. Atlanteans? Supposed "Aryan" progenitors. In other words, Howard's fiction contains racism, itself, as an common accepted fact.
Double Cross, also staring Ace Jesse from "The Spirit of Tom Molyneaux", is one of the few Howard stories to address white-on-black racism directly and it portrays the racism that the main character is subjected to as exclusively negative and erroneous. There are also minor examples like Conan believing black people to be inherently cowardly in Queen of the Black Coast and the narrative going out of it's way to prove him wrong.