Some P-40 vs. Bf 109 stuff, from the Med (from posts upthread, but I know people aren't going to go back and hunt through all that so here is a refresher)
Early Tomahawk vs. Bf 109 engagement Dec 1941
(MAW Volume 1) page 329
"On November 22, 1941 there was a significant engagement in which the Tomahawk was put to a hard test by the Bf 109F. At 1540 nine Tomahawks of No. 112 Squadron RAF were joined by thirteen Tomahawks of No. 3 Squadron RAAF for an offensive sweep over the Tobruk-El Adem area[7]. At roughly 1600 hours they were intercepted near Bir Hacheim by 20 Bf 109Fs attacking from 3,000 feet above [8]. During the subsequent hour long engagement, which took place near two German airfields, JG 27 fighters landed and refueled to rejoin the fight. In the melee DAF fighters claimed three Bf 109s shot down and four "probables", while JG 27 claimed 11 P-40s [9]. The actual losses were 6 Bf 109F-4s and 7 Tomahawk IIbs shot down and 1 badly damaged (the aircraft of future RAAF Ace Bobby Gibbes) [10]. In the aftermath of the bloody fight both sides were shaken. The Germans believed they had come out ahead but felt the losses were unacceptable , and therefore made the decision not to dogfight the Tomahawk with the Bf 109F in the future [11], and instead to rely on 'boom and zoom' tactics[12], which while effective, imposed certain Tactical limitations. "
Detailed anecdote of Merlin / P-40F engagement with Bf 1o9s in 9 October 1942
here
Comparing actual losses in both sides from July 1942 - March 1943 per Christopher Shores Mediterranean Air War. These are from Volumes II and III
July 8 1942 (112 RAF and 3 RAAF Kittyhawk Is vs. LW Bf 109Fs) 4 Bf 109F and 1 Ju 87 lost / 0 P-40s lost.
Oct 13 1942 (USAAF 57 FG P-40Fs escorting SAAF Kittyhawk Is vs. LW Bf 109Fs) 3 Bf 109's / 1 P-40 lost.
Oct 27 1942 (USAAF 57 FG P-40Fs escorting RAF Hurricanes vs Lw Bf 109Fs) 3 Bf 109's lost / 0 P-40s lost.*
Dec 8 1942 (USAAF 57 FG P-40Fs and Ks vs JG 77 Bf 109F and G) 4 Bf 109s lost / 1 P-40 lost
Dec 30 1942 (3 RAAF Kittyhawk III vs. JG 77 Bf 109F and G) 4 Bf 109s lost / 0 P-40s lost
23 March 1943 (USAAF 79 FG vs. JG 77 & JG 51) 2 Bf 109s lost to P-40's / 0 P40s lost
24 March 1943 (USAAF 33 FG vs. JG 77) 2 Bf 109s lost (+4 lost for 'unknown reasons')/ 1 P-40 lost
29 March 1943 (USAAF 33 FG vs. JG 77) 6 Bf 109 lost (4 destroyed +2 crash-landed) and 3 He 111's and 1 Ju 88 / 2 P-40's lost (1 to AA)
31 March 1943 (USAAF 33 FG vs. JG 77) 6 Bf 109 lost (3 destroyed +3 crash-landed) and Ju 87 lost to P-40 / 1 P-40 lost**
*In an 8 day period in Oct 1942 where DAF P-40s (with some USAAF support) roughly 'broke even' against the LW, Shooting down 29 Bf 109's and 10 MC 202's for 31 P-40s & 3 Spits
** In the four USAAF vs. Luftwaffe clashes listed above between 23-31 March 1943 16 Bf 109s were lost (11 destroyed and 5 crash landed) +5 bombers / vs. 3 P-40s.
Combat with losses from both sides from May, June and July 1943 (operations against Sicily, Sardinia and Italy)
May 27 1943 (US 325th FG vs. Italian 51 and 42 Stormo) 3 x MC 202 lost / 0 P-40s lost
May 28 1943 (US 325th FG and 14th FG [P-38] vs JG 27 and Italian 41 and 150 Stormo) 3 x Bf 109G-4 and G-6 lost**, 1 x Bf 109G (Italian) lost / 1 P-40 and 1 P-38 lost
June 6 1943 (US 325th FG and 52FG [Spit V] vs JG 27 and JG 53) 3 x Bf 109 shot down*** / 0 P-40 shot down
June 10 1943 (US 325th and 79th FG and 31st FG [Spit] vs JG 27 and JG 53, and Italian 161, 22, and 53 Stormos) 15 x Bf 109s lost, 8 MC 202 lost**** / 3 P-40s lost
July 8 1943 (US 324th FG vs. JG 77 and JG 53 and Italian 150 Gr CT) 5 x German Bf 109G-6 lost and 1 x Italian Bf 109G lost / 3 P-40s lost
July 22 1943 (US 325th FG vs. Italian 22 and 51 Stormo) 4 x MC 205 shot down, (+ 2 x 205 'shot up by P-40s') 3 x MC 202 & 1 X D.520 shot down , Ca 309 shot down / 2 x P40 lost
July 26 1943 (US 325th FG vs. JG 53 and Italian 51 Stormo) 2 x Bf 109G shot down, 1 x MC 205 (+1 205 'shot up by fighters') / 0 P-40s lost
July 30 1943 (US 325th FG vs. JG 77) 6 x Bf 109G Shot down***** / 1 P-40 shot down
Notice in particular July 8, 22, 26 and 30. These were days when P-40 units were fighting German and Italian fighters in areas where no other Allied fighters were operational.
Also on June 10, though Spitfires were also involved, they claimed 14, while US P-40F/L units claimed 21. Actual losses were 23 Axis fighters.
Even if we assume that all of the Spitfire claims were accurate, that still leaves 9 shot down by the P-40s. If we assume roughly the same rate of overclaiming (65% of claims were real) the ratio was probably more like 9 by the Spits and 13 by the P-40s.
* it's unclear to me at this time if this includes Tomahawk claims or not.
** on this day P-40 pilots made claims for 6 Bf 109s, P-38 pilots claimed 2
*** one Bf 109 claimed by Spitfire pilots, 3 claimed by P-40s. One additional Bf 109 was reported shot down by defensive gunners on B-17s
**** 13 claims by Spitfire pilots 21 claims by P-40 pilots
***** There was also one claim by a Spitfire pilot, Shores says the loss of one 8./JG 77 plane may have been by the Spitfire or by 325 FG