1) word mark logo :-
As shown google is a best example of word mark logo and its mainly use for websites. This type of logo you can use for your websites and blogs it make the look creative and simple cool.
2) abstract logo :-
above example of Pepsi is a abstract logo. Its basically a symbol which will represent your brand perfectly afterwards. Its should be rememberable and simple.
3) Emblem logo :-
Examples of harley davidson, starbucks etc are examples of emblem or vintage logo. If your company or agency is related to old or vintage theme then this will be the best choice for you.
4) Combination logo :-
Example are doritos, burgerking etc . Its basically a combination of pictures and works like in above examples. It best for food and automobiles brands.
5) Mascot logo :-
Example of it is kfc. Its can be different type like face, animal etc its mostly cartoonist mascot of something. Its best of niche brands and website because its catchy.
6) Face logo :-
we cannot show you face logo sample as its creates copyright and privacy issue youtubers like bb ki vines use the same type of logo as it is trending and new style for personal and youtube logos.
7) Letter mark logo :-
nasa is a good example of letter mark logo. its basically a graphical representation of work. Its mainly use for 4 or less then 4 letter or using short form of company like amul. Its make it easy to understand.
8) 3D Logo :-
This is a logo create by us which has 3D effect and fancy look its basically catchy and visualizable easily. You can create this type of logo for events and celebration.
9) Symbolic logo :-
Apple and Nike is good example of its. Its a graphical symbol which will show your brand value. Its the first choice of entrepreneur as its simple and easy to recognize this type of symbols has help many brands to grow
10) Totally unique logo :-
Many graphic designer are combining all category all making messy logo but we don’t prefer that as it makes logo untidy but sometimes it works well …
Now I am Pretty Sure That You will know what to design or choose for a particular logo.
Their are many some of them are abstract, symbolic, letter mark, work mark, emblem etc.
As an designer you need to know what type of logo will be best for client, As a client you take decide which style you wanna go with.