The HD4850/70/90 didn't support HDMI directly, you had to use an adaptor for that, and I distinctly remember my HD4850 having an S-video out onboard. Some of the lower-end stuff might have had native HDMI, I don't remember.
yes the HD 4000s were the last with the analogue TV output (S-Video+composite+component), some had HDMI port, but I think all of them (HD3000 and higher at least) supported HDMI with basic DVI adapters and could output audio via HDMI,
To your amazing surprise, HD3000 remains in production today as an integrated GPU in Gigabyte GA-78LMT-USB3 and Asus M5A78L-M/USB3 motherboards.
yes it's a chipset from 2008, from before Phenom II, 760/780G (same thing, just UVD enabled on 780G I think), it's a shame AMD didn't make a low end chipset like the 990/970 for AM3+, but their focus was to push FM1 for low end/IGPs,
more surprising was the nforce 7025/630 stuff being used even for some low end AM3+ boards... that's basically the old 6100/430, it's a DX9 IGP and doesn't even have the Hyper Transport speed that Phenoms used, it was limited to the Athlon 64 Hyper Transport speed (and PCIE 1.1)
And today, it's all but useless. I wonder what the driver status is today of the NV 6150 chipset? That was used in many OEM system, like Walmart special e-machines and the like, with AM2 CPUs.
Edit: I just put together a rig with that chipset. An Asus AM2+ mobo, an X4 630, 2x4GB DDR2, an SSD, and a 630GT. Was offering it to a friend, but he wasn't interested. (Was free, even.)
Edit: Well, maybe not "just". I actually built the rig some years back, I did have to refurb it just recently though.
6100 is not officially supported by win 10, not even 8.1, last driver was forceware 309 or something for win8 (whql driver from 2015 supporting 2004 products), but it always worked fine for me on 8.1 with the default driver, or the 8.0 driver (with control panel), when I upgraded to 10 it gave me a warning that the graphics card was not compatible with 10, I just installed it anyway (did a fresh windows 10 x64 install) and windows update didn't install a driver and just left the generic Microsoft driver, I installed the win 8.0 forceware 309 and it worked with no trouble, even the control panel is fine.
basically the experience with the geforce 6 was worse than the HD4670 due to the lack of automatic driver install, and the upgrade tool waning me the GPU was incompatible, but when installing a win8.0 driver it worked better than the HD4670 doing the same thing or using the win update driver (because the control panel is present)