anlaufen
to start
To begin or start. Often used for programs, films, projects, or machines.
Die neue Produktion soll im Herbst anlaufen.
The new production is supposed to start in the fall.

to start / fog up / tarnish
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to start
To begin or start. Often used for programs, films, projects, or machines.
Die neue Produktion soll im Herbst anlaufen.
The new production is supposed to start in the fall.

'Anlaufen' (to start / fog up / tarnish) is a separable verb. The prefix 'an-' goes at the end in a main clause, while in a subordinate clause and in the infinitive it remains attached to the verb.
Der neue Film läuft am Freitag an.
The new film starts on Friday.
The perfect tense of 'anlaufen' is always formed with the auxiliary verb 'sein' (to be). This is because the verb describes a change of state or a movement.
Meine Brille ist sofort angelaufen.
My glasses fogged up immediately.
In the meaning 'start', 'anlaufen' is often used for abstract things. Typical combinations are: ein Projekt läuft an (a project starts), ein Film läuft an (a film starts), die Produktion läuft an (production starts), or ein Programm läuft an (a program starts).
Der neue Kurs läuft nächsten Montag an.
The new course starts next Monday.
You can recognize this meaning from the context of glass or reflective surfaces. Typical subjects are 'die Brille' (the glasses), 'das Fenster' (the window), or 'der Spiegel' (the mirror), which become cloudy because of moisture or temperature differences.
Die Fensterscheiben sind im Winter oft angelaufen.
The window panes often fog up in winter.
When 'anlaufen' is used in the context of shipping, it means 'ansteuern' (to head for / call at). The subject is always a watercraft such as 'ein Schiff' (a ship) or 'eine Fähre' (a ferry), and the destination is often 'ein Hafen' (a port) or 'eine Küste' (a coast).
Welche Häfen wird das Schiff auf seiner Reise anlaufen?
Which ports will the ship call at on its journey?
In the meaning 'to fight against resistance', 'anlaufen' is always used with the preposition 'gegen' and an accusative object. The expression often conveys that the efforts are unsuccessful.
Die Mannschaft lief immer wieder gegen die starke Abwehr des Gegners an.
The team kept running up against the opponent's strong defense.
to begin
'beginnen' and 'anlaufen' can both express that something starts. 'beginnen' is more general and fits many actions, courses, conversations, or times. 'anlaufen' is used especially often for projects, programs, films, machines, or organized processes. It sounds as if something is getting going. In many situations, the two words can be understood similarly, but 'beginnen' is more neutral and more broadly usable.

Im Büro läuft das neue Programm heute zum ersten Mal an.
At the office, the new program is starting up for the first time today.
Nach der kurzen Pause beginnt der Kurs wieder um zehn Uhr.
After the short break, the course begins again at ten o'clock.