Looking for weighted pieces for 15” Board

It should match the board, have you got picture of the board?

Sets with King diameter of about 27-31mm (1.06-1.22") and pawn diameter of 19-22mm (0.74-0.86") would fit perfectly, depending on your preference for more or less space. You are looking for king size of 68-75mm (2.6-2.9").

These say they are single weighted, https://www.houseofstaunton.com/analysis-plastic-chessmen-2-5-king.html

I have the 2.5 inch plastic analysis pieces from ChessHouse, and they are unweighted. The claimed set weight of the HoS set is the same as the ChessHouse set, so I doubt the HoS set has additional weights. Maybe their definition of single weighted is different from this one that came up when I googled 'single weighted chess pieces':

"Single-weighted pieces have a single metal pellet inserted into them - usually made of iron..."

I'm just mentioning this to help prevent any misunderstanding before ordering.

This probably meets your specification, although maybe a bit cramped compared to Pamvo7's measurements: https://www.wholesalechess.com/the-library-marshall-series-plastic-chessmen-2-875-king.html

Have a look at this set from Muba on Amazon. I like using this set on my 15" board with 40mm squares. It's probably the biggest (3.5") and heaviest (32oz) set that I've found which reasonably works with smaller sized boards. This picture gives a good idea of the fit.

To my surprise, I actually received extra queens with my set.

Chess Set Sizing - Pieces vs Board...

The primary sizing criteria for the pieces vs board is that of square size vs King base diameter...

A good rule of thumb is...
King base diameter = 0.75 * square size

or equivalently....

Square size = 1.33 * King base diameter

Any variation from these ratios, or the size of individual pieces and pawns, becomes a matter of personal preference...
https://blog.chesshouse.com/how-to-select-the-right-size-chessboard-for-pieces/

See also...
https://www.chess.com/forum/view/chess-equipment/a-system-for-sizing-chess-pieces-and-boards-long

You might also want to consult the FIDE Manual, Sections 2 and 3 on equipment regulations...
https://www.fide.com/FIDE/handbook/Standards_of_Chess_Equipment_and_tournament_venue.pdf

Imo it's too big for that board. If 4 pawns don't fit into 1 square it's too tight, harder to read the board.

That set is ugly and the pawn is too tall and from first sight it's hard to tell the queen from a bishop and from the king.

Wooden sets are all ugly in that price range.

I think it's easier to find a plastic set that looks nice. Look for any 3" king chess set

Example, not perfectly sized but cheap:

https://www.amazon.com/ELONGDI-Weighted-Chessmens-Waterproof-Replacement/dp/B0CM3KCDMY/

And maybe amazon is not the best place for chess stuff

@RussBell Yeah, this is why I think this Muba set works with the 40mm squares. The king's base is right at 30.5mm...perfectly in-line with some discussions that you referenced.

Yes, your King diameter fits perfectly but the pawns are way too big at 26mm diameter. The 40mm board fits 4 pawns with diameter 20mm (for those who prefer more space) or 2 pawns with diameter of 23.4mm (for those who prefer a bit less space), and anything in between is recommended. Your pawns make it too crowded but of course if you like it it's fine for you.

Just add weight yourself . . .

I hear ya @Pamvo7, and I've read several discussions regarding sizing. However, I don't recall many rule considerations when dealing with smaller (non-tournament) boards. I've seen many people disagree with the 'four-pawns-per-square' sentiment (70mm squares for 'Tal' pawns is way overkill). But when sizing for smaller boards... other factors seem to take priority. I don't want to feel like I need tweezers to pick up tiny plastic pawns with hardly any weight. Nor do I want to look at those cheap mold seams. I would much rather have these larger pawns that are easily handled, and with nice wood grains...rather than tiny, light, cheap looking plastic pieces.

I do find it comical that someone just complained about 'four pawns don't fit into 1 square'...and then proceed to point to a plastic set where 'four pawns don't fit into 1 square'.

yeah, my bad those pawns have 24mm base roughly may not fit 4 times unless square size is 48mm

I own an almost identical plastic set but pawns that fit 4 times in 40mm squares and they fit loosely so maybe base is about 19mm, can't find this set on Amazon though

plastic sets still look better than cheap wooden sets with those crude knights and ambiguous queens/kings

I "treated" a plastic set (world chess set) for somebody else, used sandpaper (1000 grid) to make the pieces matte and get rid of the ugly seams, then used some (white) silicone to fill them and put in some weights. Set had a nice, sturdy feel to it, sadly I didn't make any photos. Set felt like it was some expensive pro stuff after the treatment.

Yes that's a lot of work to make some plastic set nicer, but it also is a special person

A&A Amazon store is selling some nice (I'd say best on Amazon) plastic Staunton sets (along with a silicone board). There are some visible seams but they aren't too glossy, no sanding required in my opinion. Plus design and the weight is great.

Imo the sanding with fine paper gives a surface that's very nice to the touch, not feeling cheap like glossy plastic but somehow "high quality". I admit it's a lot of work but worth it if you're a very tactile person. It also dulls the sharp reflections from the plastic making it more pleasing to look at.

But you're right, it's not required, just a way to elevate a plastic set.

I think FIDE requires for sets to not to be shiny. I've sanded some shiny plastic too some time ago but I also did some wavy scratches (with a dinner knife and a coarse file) to imitate the wood grain.

Sanding and even just scratching produced some bad 'chemical' smell, I was worried about that but it went off later.