Thanks. The pics are very helpful. In addition to the LED part number, would you supply part number references for the other components?
The other parts (diode and resistor) are extremely common items available from many sources.
The diode is a 1N4001 as shown. The particular ones I bought were on Amazon as "(Pack of 100 Pieces) Chanzon 1N4001 Rectifier Diode 1A 50V DO-41 (DO-204AL) Axial". You can also get these from electronics distributors like Mouser Electronics or Digi-Key. Many other diodes will also work. For example, you can use a 1N4001, 1N4002, 1N4003, 1N4004, 1N4005, 1N4006, or 1N4007 as each of those simply has a higher voltage rating so they are all suitable.
The resistor I used is a 1% tolerance "metal film" type from an assortment I bought long ago, also from Amazon, as "ELEGOO 17 Values 1% Resistor Kit Assortment, 0 Ohm-1M Ohm (Pack of 525) RoHS Compliant". But you don't need a 1% resistor. A cheap carbon resistor will be just fine. Again, you can get such resistors from many sources such as Mouser Electronics or Digi-Key or Amazon. (In case anyone wonders why there is a thing such as a "0 Ohm resistor", they are used in place of jumper wires. More commonly seen in situations where circuit boards have parts loaded by machine - the machine knows how to load something shaped like a resistor and they can be provided on long rolls like regular resistors.)
The wire is another staple item and in this case I just bought some from the local hobby shop that had a fairly small quantity in an assortment of a few colors in a bag. The bag is labeled "Hobby Unlimited" with their part #VHB-AD-5697. I'm not sure you will be able to find that particular package. But any 26 gauge stranded wire (or even other sizes) will do. Such wire is available at Amazon, Mouser Electronics, Digi-Key, and elsewhere. And you can certainly use smaller wire such as 28 gauge or even 30 gauge. Those smaller sizes are typically used for wiring DCC decoders such as in HO locomotives so can often be found in small quantities in model train shops. You can buy 30 gauge wire by Miniatronics and others from from Walthers and that would work fine as the current draw is so small. But really small wire is more delicate to work with and a bit pricey. So I used 26 gauge for this. If you search for "26 gauge wire" on Amazon you will find many choices.