What drivers are you using? Try something older, like 45.23 maximum or even better try some drivers from around 2001-2002 when the game came out. I don't know how this game runs and although the GPU should handle it just fine, I'm afraid that the CPU might be a little slow for it. Isn't the C3 700A roughly on par with a Pentium 2 300-350 anyway?

I'm using version 21 of the drivers. Also, my plan is to upgrade the motherboard, CPU, and RAM for better game support.

The CPU is slow, but it should be enough to run this acceptably when hardware accelerated. It runs this slow in software mode because the CPU is slow, that's to be expected.
The screen flickering could be due to many things, but I'd advise forcing V-Sync through the driver control panel or if this particular driver version does not offer such an option, consider using PowerStrip, a neat little utility that provides, among other things, the ability to tweak V-Sync. You could also try Riva Tuner, but it could be a little daunting if you have no idea what you're doing.

If all else fails, try an older driver set. This one might just do the trick for example.

Joint Ops will run especially bad on this PC. Not only is the CPU way slower than the absolute minimum, but the video card is also slightly slower than the minimum. Just to put it into perspective, you are trying to run a mid-2004 game on a top of the line ~97-98 CPU and mid-range GPU from 2000. The game will be a total slideshow.

I tested the GPU bottleneck (Joint Ops: Typhoon Rising) and it did pass since it has T&L support, but the CPU causes the major slowdowns. I'm planning on upgrading the motherboard bundle from the Socket 370 to a Socket 754 for more support and USB 2.0 as well. I did run the game (Jimmy Neutron Boy Genius) on a K6-2/300 using my trusty VooDoo3 3000 PCI card and it worked great (framerates were steady on) and the TNT2 card I had installed in my 370 system did work with the game. I'll attempt to use the older driver set that you posted on here later on.

Requirements for the Joint Ops: Typhoon Rising game.

Did the driver install, still nothing. I even fiddled around with the V-Sync (on, off, always off) since the drivers have that as an option in the OpenGL settings, and still nothing. Maybe it's either the DirectX that's causing the issues, which the version I have installed is 9c, and in order for me to install DirectX 8, I have to do a reinstall of Windows or figure out how to remove DirectX 9c altogether without the need to reinstall Windows, or I forget to restart the computer once I set the V-Sync.

With the VooDoo2 card installed, it works without issues, but it lacks the mouse cursor.

Tested again by switching the hardware acceleration to basic and the game did load, but, if I switch it back, it does it again (acts up). I even changed the AGP from 4x to 2x, changed the anti-aliasing to different modes, changed the V-sync to default on, default off, and always off, still no go. I also removed DirectX 9c to see if that helped and install DirectX 8, and that didn't help at all.

Maybe if I change my motherboard around to a Socket 754, it might work.

Tested on a Dell Inspiron 600m notebook running XP Pro with integrated ATI Radeon 9000 mobile; Compaq Presario C700 notebook running Windows 7 Pro and Intel GPU, and they both work with no issues (ran without the compatibility view as that also caused the game to do the same thing). So, judging by the looks of it, it's a motherboard and GPU mismatch in terms of memory speed and possibly the VIA chipset as well.

Upgraded the guts to the Socket 754 combo, still the same.

Got a couple of program errors (with screenshots as well):

1NEUTRON caused an invalid page fault in
2module NEUTRON.EXE at 0167:00476d7f.
3Registers:
4EAX=00000000 CS=0167 EIP=00476d7f EFLGS=00010246
5EBX=00000000 SS=016f ESP=008cfb5c EBP=00a2e000
6ECX=00509940 DS=016f ESI=00a2e000 FS=19f7
7EDX=008cfa75 ES=016f EDI=00a2e08c GS=3776
8Bytes at CS:EIP:
98b 10 51 8b 4c 24 08 51 8b c8 ff 52 20 c3 90 90 
10Stack dump:
110046a41d 0050993e 00509940 00474a2b 00000001 00a2e08c 004f1acc 0044d400 00a2e08c 00a2e08c 0044fb2b 00a2e08c 00a2e08c 00a44000 00000000 004f4c10 

1NEUTRON caused an invalid page fault in
2module <unknown> at 0000:40c3f635.
3Registers:
4EAX=00060000 CS=0167 EIP=40c3f635 EFLGS=00010246
5EBX=008cfbbc SS=016f ESP=008cf670 EBP=008cfbc8
6ECX=0112e940 DS=016f ESI=00a2e030 FS=19f7
7EDX=008cf589 ES=016f EDI=00000000 GS=0000
8Bytes at CS:EIP:
9
10Stack dump:
110047dc32 00a2e08c 004700a1 00a2e08c 00a2e08c 004f5fcc 00a2e08c 00a2e030 008cfbc8 008cfbbc bff9ddae 00a2e08c 0000000e 00000000 008cf6c8 0048c6ce 

Uninstaling and re-installing the game fixed the program error messages, but, it still won't work.

An update: swapped the motherboard around so that way I can have more PCI slots (1 more than the other board), installed the VooDoo2 card with the FastVoodoo2 4.6 drivers (since the card's original drivers works in a 66MHz FSB system only), and the game finally fires up. The bad news is, the mouse cursor disappears for some odd reason. Maybe because it's a 3D accelerator card only since the mouse cursor is 2D (if my memory serves me right). Ah, well. At least I got it to work, though.