The Source for calculating the years in which the different Tithes are required: Rosh HaShanah 12b
The first of Tishrei is the demarcation date between years for Tithing of vegetables: Rosh HaShanah 2a, 12a
The first of Tishrei is the demarcation date between years for Tithing of grains: Rosh HaShanah 8a, 12a
For Produce which is a mixture of species which have and haven't grown to their point of requirement: Rosh HaShanah 13b-14a
Dividing between fruit which is produced in 1 harvest or 2: Rosh HaShanah 15b
Specific Produce, and the Time when they Become Required in Tithing
For grains: Rosh HaShanah 12a, 12b, 13b-14a
For rice/millet: Rosh HaShanah 13b-14a
For vegetables: Shabbat 68a; Rosh HaShanah 12a, 13b-14a; Kiddushin 3a
For vegetables which are/aren't harvested in bunches: Rosh HaShanah 12a
For vegetables buried beneath leaves: Shabbat 113a
For beans, seeds and the like: Rosh HaShanah 13b-14a
Certain species of onions and beans, which were grown without watering for 30 days before the new year began: Rosh HaShanah 14a
For citrons: Eruvin 7a; Rosh HaShanah 14b-15b; Succah 39b-40a; Kiddushin 3a
For Regular Figs: Shabbat 68a
Small, permanently Under-ripe Figs: Pesachim 53a
Small, permanently Under-ripe Dates: Pesachim 53a
Vinegar of an an unlearned person: Pesachim 42b
"Temed" made from pouring water over grape sediment: Pesachim 42b
"Temed" made from pouring water over grape-seeds: Pesachim 42b
Standard Fruits of Trees: Rosh HaShanah 13b-14a
Olives: Rosh HaShanah 12b, 13b
Fenugrec: Rosh HaShanah 12b
Either the 1st or 15th of Shevat is the demarcation date between years for separating Terumah on a tree's fruit from one year to the next: Rosh HaShanah 2a, 14a