I know that Aladdin does not run if there are more than 32MB of free XMS memory. Use EATXMS or a RAM Drive. Jungle Book should have no such problems (just tested in DOSBox). Does it display an error message? Not sure about the Lion King - maybe all the sound devices confuse it? Did you run its sound setup via INSTALL.EXE and configure the correct base address / IRQ / DMA for the Sound Blaster?

I tried running the install file and it wouldn't let me set the sound card since it gives me an error. I think the issue is the games were meant for DOSBox.

You're not going to get a lot of useful help without providing more information about what errors you're actually getting...

maybe check how the sound is configured in the dosbox install coming with the game? also there might be some readme in there saying how to select sound (it might be switch instead of a config)

In Aladdin, I get "XMS Initialization Error." Got the message when I set the DOSBox memory to 36MB (this is the issue) and setting it to 32MB or less works.

Also, editing the .CFG files for the two games made it possible for me to access the sound blaster parameters and change the IRQ from 7 to 5. I will copy those config files onto a diskette and copy them to the appropriate folder on my Packard Bell and disable the other 4MB on-board RAM as well.

Solved the issue. I disabled the on-board RAM and it went from 36MB to 32MB, and all 3 games play sound and are launching without issues. I also took the liberty of changing the cfg file for the Lion King for the sound card beforehand. Thank you all.

You don't need to physically remove RAM, use something (like EATXMS as suggested above, or SMARTDRV with buffers big enough) that will allocate some so that Aladdin doesn't choke with more than 32 MB free.