This post is more of a catalog of availability than suggestions or orchestration

Horn

• Straight
• Stopping
• Cup (rare)

Wagner Tuben

• Straight

E-flat Cornet

• Straight
• Cup
• Harmon (rare)
• Plunger
• Hat/derby

B-flat Cornet

• Straight
• Cup
• Harmon
• Plunger
• ClearTone
• Bucket
• Hat/derby
• Pixie (straight mute used in combination with plunger)

Alto Horn

• Straight
• Cup

Baritone Horn

• Straight
• Cup

Piccolo Trumpet

• Straight
• Cup
• Harmon
• Hat/derby

Trumpet

• Straight
• Cup
• Harmon
• Plunger
• Cleartone/solotone
• Bucket
• Hat/derby
• Pixie (straight mute used in combination with plunger)

Bass Trumpet

• Straight
• Cup
• Harmon

Alto Trombone

• Straight
• Hat/derby

Tenor Trombone

• Straight
• Cup
• Harmon
• Plunger
• Bucket
• Cleartone/solotone
• Hat/derby
• Pixie (straight mute used in combination with plunger)

Bass Trombone

• Straight
• Cup
• Harmon
• Plunger
• Bucket
• Hat/derby
• Pixie (straight mute used in combination with plunger)

Contrabass Trombone

• Straight

Cimbasso

• Straight

Flügelhorn

• Straight
• Cup
• Harmon
• Bucket
• Solotone/cleartone

Mellophone

• None

Euphonium

• Straight
• Bucket (rare)
• Cup (rare)

Tuba (Bass and Contrabass)

• Straight
• Bucket (rare)
• Cup (rare)

With some of the rarer instruments, like Flügelhorn, Mellophone, Alto Horn, Bass Trumpet and others, they can use mutes designed for some of the other brass instruments (in most of these cases, the Tenor Trombone).