I recently purchased a collection of assorted electrical components, but I am having a hard time figuring out the values for some of the non-cylinder capacitors.

I have 3 variety of disc capacitors.

One has "103" printed on it, nothing more. It is also the physically largest disc capacitor in the bunch.

The second type has the following printed across 3 lines: "Y5P", "471K", "KCK"

the third has two lines, ".0015K", "X5F"

There is also a mess of Metal film and Polyester film capacitors,

"ICC PMG -1k 250F" Blue
"100T UMR -1k" Green
"CMO6FD 102J03" Brown
"2A223K" Green
"223 K5C" Blue and tiny
"224 K5C" Blue

I tried looking around on Google for the better part of an hour but I ended up just getting more confused.

That is a 0.01uF - numbers are the same as resistor codes, the last digit being the number of zeros and the value is in pF so you have a 10000pF capacitor which is 10nF or 0.01uF.

The second type has the following printed across 3 lines: "Y5P", "471K", "KCK"

Y5P is the type of dielectric, the value is the 471K like before only the K adds another three zeros so the value is 470000pF or 470nF or 0.47uF. Don't know about the KCK

the third has two lines, ".0015K", "X5F"

Same again X5F is the dielectric but the number is a bit more vague but I would guess it indicates 15nF

Not sure about the other, that probably shows my age.