Question Re: Collecting By Manufacture Type

I'm not sure if I understand your question correctly. As a collector of ancient and medieval coins there was only a few methods used to produce the coins. The first was when a billet was placed on a carved lower die with the design of the coins obverse carved into it, than and upper die with the reverse image was placed on the top of that and than struck with a hammer. Producing a signal coin.

Another method was that used in China and later in Japan, where molten bronze was poured into molds to produce the coins.

Much later in history Milled coins appeared in England these were the precursor to the current machine struck coins of today.

One somewhat unusual method was used in 1st century BC Judea (and perhaps elsewhere, but I'm not sure of the details), where the coin planchets were cast, and the coins themselves were struck.
I have one of those coins, in terrible condition (identified here by the good folks at CCF).

I wonder how were the serrated Seleukid coins made...

You could make a decent collection, but the primary issue is that except for Chinese coins, there is next to no information on how European or Indian coins were made prior to the middle ages. I'll try to break it down as best as I can.

Hammered:
- Hot hammering, as used by the Greeks and Romans. The flan was shaped, heated until soft, then hammered between dies. This resulted in high relief and thick flans.
- Cold hammering, where the flan was thin enough to be struck at room temperature. This is how most European medieval coins were made.
- Bracteates, where the flan was too thin to accommodate a reverse die, so only one was used. The reverse is the obverse mirrored and incuse.
- Punchmarked coins, which were popular in India until about 150 BC - the blank was (cold?) hammered with small punches in a semi-haphazard way. One could argue this would include various counterstriking and revaluation overstrikes.
- Single-die striking - thick copper coins were struck with a single die in Taxila in India from about 200-100 BC
- I have a very rare Indian coin from the Satavahana empire that seems to have been cast-struck... molten metal poured over a die, then the obverse pressed in until cooled.
- There is a scarce/rare Song dynasty lead cash coin from China that seems to have been hammered between two pieces of wood.
- The Byzantine Empire made scyphate (cup-shaped) coins from about the 10th-13th centuries. Some mis-struck coins have revealed that they actually used two dies to strike them, each with half of the design.

Cast
- Chinese-style tree casting where molten lead was poured into a die to create many coins at once.
- The Celts in modern day France made their coins of potin (a bronze-lead alloy that could be melted at extremely low temperatures) and seem to have been cast one at a time; they could be melted and re-cast on the fly with as little as a campfire, one original coin, and some clay.
- The Sunga empire in India (180-100 BC) cast coins two at a time; most were cut apart, but they rarely turn up joined.

Modern coin production
- Milled coinage using a corkscrew press
- Swedish Livonia used a fascinating contraption that would roll a sheet of silver between two rollers with die impressions. The coins would then be punched out with a circular punch, but since the dies were difficult to align, you can find off-center examples with part of another coin
- Modern machine minting
- I would probably include one that was engraved by laser/computer-assisted.