Note that Adventure Comics was originally titled New Comics and then later New Adventure Comics.
There are two eras in which Adventure Comics stories have been incorporated into the Super Comics Universe. The second era was published by Super Comics, which I'll discuss below. Finally, there was another era, in which many stories from Adventure happened in the Wronskiverse in a very similar way.
So lets start with the Golden Age. In the 1992 series "Mystery Men", we learned that all comic books from the golden age of comics up until the end of World War II were incorporated into the Wronskiverse. So all the issues of Adventure Comics up until the end of 1945 are part of Wronskiverse canon. Even stories that don't occur in that era still are incorporated if they were published during that era.
This includes the stories from December 1935 to December 1945 of: 17-20 on the Black, Anchors Aweigh, Andy Handy, Barry O'Neill, Billy the Kid, Blood Pearls, Bulldog Martin, Butch the Pup, Cal 'n' Alec, Captain Desmo, Captain Jim of the Texas Rangers, Captain Quick, Captain Spiniker, Castaway Island, Chikko Chakko, Cotton Carver, Dale Daring, Detective Sergeant Carey, Dickie Duck, Don Coyote, Federal Men, Freddie Bell, Genius Jones, Ginger Snap, Golden Dragon, Goofo the Great, Gulliver's Travels, Hardluck Harry, Hourman, Hubert, Inspector Kent, J. Worthington Blimp, Jack Woods, Jibby Jones, Jungle Fever, King Arthur, Maginnis of the Mounties, Manhunter, Mark Lansing, Mike Gibbs, Monastery of the Blue God, Nadir Master of Magic, Needles, Ol' Oz Bopp, Paul Kirk Manhunter, Peter and Ho-lah-an, Professor Doolittle, Ramblin' Jim, Ray and Gail, Robin Hood, Rusty and his Pals, Sagebrush 'n' Cactus, Sam the Porter, Sandman, Sandor, Sara Lou Sunshine, She, Shining Knight, Sir Loin of Beef, Skip Schuyler, Slim and Tex, Socko Strong, Starman, Steve Conrad, Steve Malone, Strange Adventures of Mr. Weed, Tale of Two Cities, Tod Hunter, Tom Brent, Vikings, Wing Walker, and other single stories with non-recurring characters.
Note that the funny talking animals don't actually reside in the Wronskiverse but in the reality of Animal Town, USA.
In addition, all of the comics published during November 1979 to October 1986 were ripped off and retold as stories involving Super Comics characters. In Action Adventure, stories featuring Speedy, the Super-Trio, Waterman, Stretch, Space Hero, Changer, Zap, Super-Bob, Screamer, the Sleeper, Vonski, Pretty Gal, the Fantastic Four, Witch Woman, Powerkid, Powerlord, the Zap Family, Space Patrol, Zappette, and Phil Sheridan were all largely copies of respective stories featuring the Flash, the Justice Society of America, Aquaman, Plastic Man, Starman, Dial "H" for Hero, Captain Marvel, Superboy, Black Canary, Sandman, the Spectre, Supergirl, the Challengers of the Unknown, Zatanna, Superman, Captain Marvel Junior, the Marvel Family, the Legion of Super-Heores, Mary Marvel, and Jimmy Olsen from Adventure Comics.
From 1989 to 1990, Super Comics published 24 issues and two annuals of a second volume of Adventure Comics, that featured Dark Knight over Hadenville, the Phantom Stranger, Nightmare on Elm Street, the Tele-Kid, Powerman, and the Golden Age Superman.
So that's Adventure Comics' role in the Wronskiverse.