ー本 (ほん)
For long objects (pencil, stick etc.) いっぽん にほん さんぼん 。。。
ー枚 (まい)
For thin objects (paper, ticket etc)
-人 (にん)
Counter for people
ひとり
ふたり
さんにん
一冊 (いっさつ)
Bound objects, ex book
一匹 (いっぴき)
Small animals, ex cats and dogs
一歳 (一才 いっさい)
Age of living things, people
一個 (いっこ)
Small (often round) objects
一回 (いっかい)
Number of times
一ヶ所 (いっかしょ)
Of locations
一つ (ひとつ)
Any generic object that has rare or no counter