Jerry Robinson began his career as an assistant to Bob Kane in 1940, but by Batman 12 (August 1942) he was pencilling and inking his own stories

His own style was much more fluid than Kane's and seemed to owe more to Simon and Kirby than Chester Gould. (Indeed Robinson secretly inked portions of Captain America #3).  He was instrumental in creating Robin.  The R symbol on Robin's costume is derived from the lettering style Robinson designed for the Batman strip.  After leaving Batman in 1946, Robinson went on to work for many other publishers drawing everything from Black Terror to Lassie.  He began his own syndicated panel Flubs and Fluffs in 1964 and continued it as Life with Robinson up into the 1980's.
 

Ray Burnley - Dupree (pronounced Doo-pray) Burnley was Jack Burnley's older brother.  He began his comics career drawing and inking backgrounds in some of his brother's Starman stories.  But as his brother wound down his comic book career in the mid-forties, Ray began branching out into working on his own.  His inks appeared over some of Bob Kane's last Batman pencils, as well as several Dick Sprang stories.  In 1954 he began inking Curt Swan's Jimmy Olsen stories, which he continued to do until he left comics in 1959.

Gene McDonald-  primarily noted for inking Dick Sprang's mid-forties work, McDonald also inked occasional stories by Jim Mooney.

Jim Mooney- Many artists tried out to replace Jerry Robinson.  Jim Mooney was the winner.  After a couple of early stories inked by Gene McDonald and Ray Burnley, Mooney went on to draw Batman for several years.  He also drew all the Robin stories which appeared in Star Spangled Comics.  His long career also included Supergirl, Tommy Tommorrow and Spider-Man.

from Batman 38 "The Carbon Copy Crimes" by Bill Finger, Jim Mooney and Gene McDonald(?)

Charles Paris was primarily an inker.  He first worked on Batman with Bob Kane on the daily comic strip.  After the strip ended he came over to the comic book where he was the primary inker over both Dick Sprang and Bob Kane and his subsequent assistants up until 1964.  After that he inked many other DC features, including Metamorpho.  He pencilled stories in Batman 42 and 46.

Win Mortimer-Canadian artist Winslow Mortimer joined Nationals' bullpen in 1946 and originally worked in the office, a location which led to him doing lots of covers for World's Finest, Superman and Batman.  He did a handful of Superman and Batman stories during 1946 and 47 until he took over the daily Superman comic strip which he did for over five years.  He worked on and off for National/DC up into the eighties.

Howard Sherman usually the artist on Dr. Fate took a shot at Batman in 1946, before moving on to the Wyoming Kid, Vigilante and Congo Bill.

Detective 118 "The Royal Flush Crimes" by Alvin Schwartz and Howard Sherman. Dec 1946

Curt Swan (1920-1996)came to comics directly from his military service, where he worked on the Stars and Stripes newspaper. There he met Ed France Herron, comic book scripter and editor (and creator of the Red Skull and Captain Marvel Jr.) who directed him to Detective Comics, Inc. to apply for a job. Soon, Curt was ghosting the Boy Commandos, later expanding into Tommy Tomorrow, GangBusters, and even Star Spangled War Stories .  Curt only drew one Batman solo story but from 1958 -59 he did almost all the covers, as well as doing the first year of the Superman/Batman team-ups in World's Finest.  After Mort Weisigner became editor of World's Finest in 1964, Curt resumed pencilling the team-ups for the next four years.