Replace use of `any` with proper types in non-test files

[mcmire]

• assets-controllers: Replace use of any with proper types (non-test files only) #3714
• base-controller: Replace use of any with proper types (non-test files only) #3715
• composable-controller: Replace use of any with proper types (non-test files only) #3716
• controller-utils: Replace use of any with proper types (non-test files only) #3717
• eth-json-rpc-provider: Replace use of any with proper types (non-test files only) #3718
• gas-fee-controller: Replace use of any with proper types (non-test files only) #3719
• json-rpc-engine: Replace use of any with proper types (non-test files only) #3720
• keyring-controller: Replace use of any with proper types (non-test files only) #3721
• logging-controller: Replace use of any with proper types (non-test files only) #3722
• message-manager: Replace use of any with proper types (non-test files only) #3723
• name-controller: Replace use of any with proper types (non-test files only) #3724
• network-controller: Replace use of any with proper types (non-test files only) #3725
• permission-controller: Replace use of any with proper types (non-test files only) #3726
• phishing-controller: Replace use of any with proper types (non-test files only) #3727
• polling-controller: Replace use of any with proper types (non-test files only) #3728
• rate-limit-controller: Replace use of any with proper types (non-test files only) #3729
• signature-controller: Replace use of any with proper types (non-test files only) #3730
• transaction-controller: Replace use of any with proper types (non-test files only) #3731
• scripts/: Replace use of any with proper types (non-test files only) #3732

[desi]

@mcmire We discussed breaking out this work into separate issues by package so its easier to track and estimate the work.