Designing logo types that you can see the samples of some of them as below :
Wordmark (Logotype)
Lettermark (Monogram)
Pictorial Mark (Brand Mark)
Abstract Mark
Mascot Logo
Combination Mark
Emblem Logo
Dynamic Logo
3D Logo
Negative Space Logo
Line Art Logo
Minimalist Logo
Vintage Logo
Handwritten Logo
Geometric Logo
Gradient Logo
Typographic Logo
Symbol-Based Logo
Responsive Logo
Animated Logo