Odyssey appears 6 times in the Israeli foreign-music chart archive (1978–1994). Their highest position was #5. Best performer: Move Your Body (peak #5, 4 weeks on chart).
| Peak | Song | Entered | Wks | Annual |
|---|---|---|---|---|
| 5 | Move Your Body | 14 Jun 1994 | 4 | – |
| 6 | Talk to Me | 26 Oct 1993 | 8 | – |
| 16 | Going Back to My Roots | 20 Jul 1981 | 6 | – |
| 22 | Inside Out | 19 Jul 1982 | 6 | – |
| 28 | Native New Yorker | 29 Jan 1978 | 3 | – |
| 30 | If You're Lookin' for a Way Out | 10 Nov 1980 | 3 | – |