The laws of grinding on Yom Tov slightly differ from the laws of Shabbos. The main differences are regarding the use of a grater [which is forbidden on Shabbos], and cutting items small [which may not be done on Shabbos unless for immediate use]. In all cases it is forbidden to grind more food than necessary for that day of Yom Tov.

Using a grinder or grater:

The following is the general rule: All food that will not lose taste if ground before Yom Tov is proper to be ground before Yom Tov. If the food does lose taste or for whatever reason one did not do so before Yom Tov, then depending on the food, at times it is permitted to grind using a grinder or grater, at times it may only be done with an irregularity, and at times it may not be done at all using a grinder or grater.

Spices: On Yom Tov spices may only be ground using an irregularity.^[1] One may not grind them using a spice grinder [even if it is not electric, and even with an irregularity^[2]].^[3] [Thus one may not grind coffee using a coffee grinder on Yom Tov. However, some Poskim rule it is permitted to do so using a small house grinder, and only industrial grinders were prohibited. Others are stringent even in such a case.^[4]]

Horseradish:^[5] Horseradish has the same law as any spice and it is thus forbidden to grind horseradish on Yom Tov using a grater [or non-electric grinder] or any other vessel used to grind for many day’s worth. [Many Poskim^[6] however permit doing so through using an irregularity, such as an upside down grater. However, from Admur it is implied that a grater or grinder may never be used, even with an irregularity.^[7] One may however grind the horseradish using a different form of irregularity, just as is the law on Shabbos.^[8]]

Foods that don’t grow on ground: It is permitted to grind such foods even regularly.^[9] One may use a nonelectric grinder even regularly.^[10] However one is not to grind them using a grater unless he does so using some form of irregularity [such as an upside down grater^[11]].^[12] 

Vegetables and fruits: It is permitted to grind all vegetables with a slight irregularity on Yom Tov.^[13]  One is not to grind them using a grater unless he does so using some form of irregularity.^[14]

Foods that lose their taste if ground the day before: Some Poskim^[15] are lenient to permit grinding regularly all fruits and vegetables that lose their taste right away if ground Erev Yom Tov. This would include onions, garlic, bananas; apples, potatoes and the like. It may be ground even regularly using a grater. Other Poskim^[16], however, are stringent to always require an irregularity.] 

Bread:^[17] It is permitted to grind bread on Yom Tov even regularly, even using a grinder.

Grater irregularity: The following is considered an irregularity when using a grater: Turning it upside down^[18], or grinding the food directly onto the counter/table and not onto a plate, if that is what is normally done during the week.^[19] Some are accustomed to never use a grater on Yom Tov, just as on Shabbos.^[20]

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[1] Admur 504:1

[2] See Admur ibid and Machatzis Hashekel on M”A ibid; Piskeiy Teshuvos 473:16

[3] Admur 504:4

[4] See Shaareiy Teshuvah 504:3; Piskeiy Teshuvos 504:1

[5] Admur 504:4; M”A 504:7

[6] M”B 504:19; Kaf Hachaim 504:31; Nitei Gavriel 6:5; See however Piskeiy Teshuvos 473:16 that according to M”A and Admur ibid it is forbidden to do so even with an irregularity.

[7] See Admur ibid and Machatzis Hashekel on M”A ibid; Piskeiy Teshuvos 473:16

[8] Admur 321:7

[9] As so is the law even on Shabbos; Nitei Gavriel 6:4

[10] Nitei Gavriel ibid in name of Hisorerus Teshuvah 314; SSH”K 7:24; Yabia Omer 4:45

[11] M”B 504:19; Kaf Hachaim 504:31; Nitei Gavriel 6:5

[12] Admur 504:5 regarding cheese and the same would apply to all foods that don’t grow from the ground;  M”A 504:8

[13] Admur 504:1-2 regarding spices and the same would apply to vegetables; Nitei Gavriel 6:6

[14] Piskeiy Teshuvos 504:3; Shemiras Yom Tov Kehilchasa 8:3; Nitei Gavriel 6:6 based on 504:5 regarding cheese and the same would seemingly apply to all vegetables.

[15] Lenient opinion in Admur 504:1 and hinted to in 504:5 as letter of law approach; Letter of law in M”A 504:8; M”B in Shaar Hatziyon 504:18; SSH”K 7:2; Piskeiy Teshuvos 504:3; Nitei Gavriel ibid footnote 11

[16] Admur ibid concludes to be stringent as rules 2^nd opinion in  504:1; Beir Moshe 8:205; Lehoros Nasan 3:27; Az Nidbaru 8:54

[17] Admur 504:6

[18] M”B 504:19; Kaf Hachaim 504:31; Nitei Gavriel 6:5

[19] M”B 504:19

[20] Ashel Avraham Butchach 495