
heil
intact
Not damaged, broken, or injured; unharmed and whole.
Trotz des Sturzes ist das Glas heil geblieben.
Despite the fall, the glass remained intact.
intact / safe / healed
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intact
Not damaged, broken, or injured; unharmed and whole.
Trotz des Sturzes ist das Glas heil geblieben.
Despite the fall, the glass remained intact.

safe
Having arrived somewhere safely and without harm.
Nach der langen Fahrt sind wir endlich heil zu Hause angekommen.
After the long drive, we finally arrived home safe.

healed
Fully recovered from an illness or injury; healed.
Die Wunde ist nach einer Woche wieder heil.
The wound is healed again after a week.

ideal world
In the expression 'heile Welt' (ideal world): a state that is ideal, harmonious, and without problems.
In dem kleinen Dorf scheint die Welt noch heil zu sein.
In the small village, the world still seems to be ideal.
The adjective 'heil' (intact/safe/healed) is the root of the verb 'heilen' (to heal) and the noun 'die Heilung' (healing, the process of becoming healthy). All these words have to do with wholeness or health.
Der Arzt konnte die Krankheit heilen.
The doctor was able to heal the illness.
'Heil' is usually used predicatively, meaning it appears at the end of a sentence after a verb like 'sein' (to be), 'bleiben' (to remain), or 'ankommen' (to arrive). Using it directly before a noun (attributively) is rare.
Die Tasse ist vom Tisch gefallen, aber sie ist heil geblieben.
The cup fell off the table, but it remained intact.
In the meaning 'arrived safely', 'heil' is very often used in the fixed combination 'heil ankommen' (to arrive safely).
Ich hoffe, ihr seid alle heil angekommen.
I hope you all arrived safely.
You can tell from context whether 'heil' means 'intact' or 'healed'. If it refers to an object (e.g., glass, bicycle), it means 'intact'. If it refers to an injury (e.g., wound, bone), it means 'healed'.
Mein Handy ist heruntergefallen, aber das Display ist zum Glück noch heil.
My phone fell down, but luckily the display is still intact.
The meaning 'harmonious' or 'ideal' occurs almost exclusively in the fixed expression 'heile Welt' (ideal world). This often describes, sometimes ironically, a naive or unrealistically positive state.
Viele Kinderfilme zeigen eine heile Welt ohne echte Probleme.
Many children's films show an ideal world without real problems.
whole / quite
For an undamaged object, ganz and heil can express the same thing. The choice often depends on the usual phrasing and regional usage; there is no general difference in meaning here. Both words can therefore work in the same situation.

Zum Glück ist die Tasse beim Umzug heil geblieben.
Luckily, the cup remained intact during the move.
Zum Glück ist die Tasse beim Umzug ganz geblieben.
Luckily, the cup remained intact during the move.