Magic: The Gathering underwent this, quite subtly for the most part until the major redesign. Compare cartoonish, coloured pencil works of the first few sets with the detailed paintings of modern cards and you will see that the overall quality has improved dramatically. This is mainly thanks to detailed art style guides of each of the new sets created.
Yu-Gi-Oh! also has shifted since the beginning. The art is more detailed (finer outlines, brighter colors, more nuanced shading, more detailed backgrounds, etc.) and less cartoony, perhaps thanks to its increasing popularity which justifies hiring better artists to make better arts. The most illustrative examples are alternate artworks of the same cards. "Blue-Eyes White Dragon", for example, has gotten eight Konami designs, the greatest number of artworks for a single card to date.
Standard tabletop games
Dungeons & Dragons artwork has changed quite a lot since it was first released in 1974. The art has gotten steadily more Dungeon Punk, but this has let up somewhat in 4th Edition. A lot of fans of earlier editions do not like artwork from newer editions of D&D, and some fans of newer editions of D&D do not like the older artwork.
The artwork for Warhammer 40,000 has changed almost as much as Dungeons and Dragons over the years, starting off with goofy, oversized scifi drawings not out of place in the first edition of Shadowrun and hewing steadily more and more toward Frazetta-style apocalyptic science fantasy. Most of the combatants received major redesigns along the way as well.
Here's one interesting example within the game itself: in early editions, the Orks had a regimented appearance based along the lines of World War I era German stormtroopers, due to casting limitations. As techniques and technology improved, more variety could be put into models and in later editions the Orks moved away from their original characterisation towards a sort-of Mad Max-esque Scavenger Punk aesthetic. Only the Blood Axez clan keep with the original look, explained in-universe by the Blood Axez picking up human tactics and army organisation.
BattleTech's early artwork was almost entirely simple, unshaded black-and-white, and prone to very strange/impossible Humongous Mecha anatomy. Some designs were licensed from Japanese manga/anime studios, which often looked wildly out-of-place compared the Real RobotWalking Tank designs that the game became notable for. Later editions feature shaded artwork and significantly improved anatomy, along with a more consistent art style leaning even more towards the Walking Tank philosophy (the licensed Japanese designs were redesigned or dropped due to a messy lawsuit). Art showing civilian equipment has evolved to catch up with Technology Marches On; early artwork shows enormous computers and chunky equipment (this was back in the The '80s, mind you), while newer work shows touch-screens and other modern innovations.
The art of Iron Kingdoms's game WARMACHINE has changed quite a bit since it originally came out in 2004. While much of the original art has been phased out and replaced the faction books for each army incorporates each unit and jack added in the previous edition's expansions, as well as their art work.