Sorry for the delay. I’ve been able to try a few.
( How can I explain this without going on too long? )
You’re more focused on the CP than on making the games work. The CP of the FD is very primitive, The errors are usually due to these reasons:
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Poorly programmed games. They are usually fixed with patches or more recent versions, although sometimes there is no solution.
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Damaged discs, It is necessary to verify the images. Discs modified with patches or speed hacks; in this case, It all depends on the emulation capabilities of DOSBox.
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An emulation error. The game is not supported or some hardware is failing. In the case of CPs, DOSBox’s floppy emulation is very simple and may not understand what it is doing.
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Poor user configuration. You need a special configuration in the emulator and in the game settings. This is the most common.
I tried some of the Digitoxin FD games you mentioned.
Those marked [cp] have copy protection. You need the manual or code wheel to enter the key or the mounted FD. IMG is a RAW format, an exact clone of the FD. If it fails, it is because DB does not emulate the floppy disk properly.
And those who say [cp cr] are cracked. These don’t need mounted FD or a manual.
PC Booter: In most cases, the Boot from Disk Image menu works fine, but in others, you need to set the core to CGA, PCjr, or Tandy.
The first games saved the games on an empty FD, some prepare the disk. This can cause an error when loading the game from a zip file. In these cases, it is necessary to open the game from a folder, generate the disk, and then compress it again.
Sierra: The first installer is manual. You need to go to Command Lineand write A: [enter] y
INSTALLH C: [enter]
The first installers, such as King’s Quest (1986) (v1.0U, Int. 2.272). It does not install from A:, you must install from C: as follows. A:\INSTALLH C:

The second installer can be run from the Pure interface without any problems, You must select C: when prompted for the disk.
Black Cauldron and Space Quest, same as above.
Ultima 1 and 2 do not have an installer; they can be copied and run in C:. But why? In emulation, the FD does not interfere.
Prehistoric 2 is famous for being a programming disaster on DOS. The first version on two floppy disks does not work in emulation. There is a more recent official version on a single FD (on The God Old Days and TOSEC), which works perfectly. You can recognize it because it has a SAPRISTI folder inside.
Terminator Rampage natively restarts the PC to install, which causes an error in DB. You need to configure 386 (prefetch) in System » CPU Type. And also Performance » Emulated Performance to MAX, to get the best speed.
What’s your problem with Duke Nukem 3D? It’s configured normally, very similar to DOOM.