How can I define an interface for an array of objects?

Question

You don't need to use an indexer (since it a bit less typesafe). You have two options :

interface EnumServiceItem {
    id: number; label: string; key: any
}

interface EnumServiceItems extends Array<EnumServiceItem>{}


// Option A 
var result: EnumServiceItem[] = [
    { id: 0, label: 'CId', key: 'contentId' },
    { id: 1, label: 'Modified By', key: 'modifiedBy' },
    { id: 2, label: 'Modified Date', key: 'modified' },
    { id: 3, label: 'Status', key: 'contentStatusId' },
    { id: 4, label: 'Status > Type', key: ['contentStatusId', 'contentTypeId'] },
    { id: 5, label: 'Title', key: 'title' },
    { id: 6, label: 'Type', key: 'contentTypeId' },
    { id: 7, label: 'Type > Status', key: ['contentTypeId', 'contentStatusId'] }
];

// Option B
var result: EnumServiceItems = [
    { id: 0, label: 'CId', key: 'contentId' },
    { id: 1, label: 'Modified By', key: 'modifiedBy' },
    { id: 2, label: 'Modified Date', key: 'modified' },
    { id: 3, label: 'Status', key: 'contentStatusId' },
    { id: 4, label: 'Status > Type', key: ['contentStatusId', 'contentTypeId'] },
    { id: 5, label: 'Title', key: 'title' },
    { id: 6, label: 'Type', key: 'contentTypeId' },
    { id: 7, label: 'Type > Status', key: ['contentTypeId', 'contentStatusId'] }
]

Personally I recommend Option A (simpler migration when you are using classes not interfaces).

You can define an interface with an indexer:

interface EnumServiceGetOrderBy {
    [index: number]: { id: number; label: string; key: any };
}

You can define an interface as array with simply extending the Array interface.

export interface MyInterface extends Array<MyType> { }

With this, any object which implements the MyInterface will need to implement all function calls of arrays and only will be able to store objects with the MyType type.

Additional easy option:

    interface simpleInt {
        id: number;
        label: string;
        key: any;
    }

    type simpleType = simpleInt[];