AFAICT tshark -xxx doesn't omit anything, it just adds a hexdump of the packet below the one-line interpretation of it.
So if you want the same thing, then I believe this is what you need:
tcpdump -xx
EDIT: or tcpdump -XX if you also want an ASCII dump like tshark does
If you truly want no interpretation at all, only a hex dump, then:
tcpdump -w - | hexdump
EDIT2: to clarify further - and following roaima's comment - my answer above is based on the nearest tshark I could find, which turns out to be version 1.8.10 and produces this output (I'm using -r instead of -i just to show the same packet in each example, I don't think this will matter):
$ tshark -r test.pcap
1 0.000000 10.55.131.166 -> 10.48.37.151 TCP 78 58311 > https [SYN] Seq=0 Win=65535 Len=0 MSS=1260 WS=32 TSval=1072006161 TSecr=0 SACK_PERM=1
$ tshark -r test.pcap -xxx
1 0.000000 10.55.131.166 -> 10.48.37.151 TCP 78 58311 > https [SYN] Seq=0 Win=65535 Len=0 MSS=1260 WS=32 TSval=1072006161 TSecr=0 SACK_PERM=1
0000 00 50 56 9e 18 78 00 07 4f 1c e8 00 08 00 45 00 .PV..x..O.....E.
0010 00 40 7b 8b 40 00 36 06 0b 89 0a 37 83 a6 0a 30 .@{[email protected]
0020 25 97 e3 c7 01 bb 77 13 bc 5e 00 00 00 00 b0 02 %.....w..^......
0030 ff ff 9d 35 00 00 02 04 04 ec 01 03 03 05 01 01 ...5............
0040 08 0a 3f e5 84 11 00 00 00 00 04 02 00 00 ..?...........
and then this was my suggestion for tcpdump (with -n added to also disable DNS lookups, I had not initially noticed that difference):
$ tcpdump -r test.pcap -XX -n
reading from file test.pcap, link-type EN10MB (Ethernet)
17:21:13.507110 IP 10.55.131.166.58311 > 10.48.37.151.https: Flags [S], seq 1997782110, win 65535, options [mss 1260,nop,wscale 5,nop,nop,TS val 1072006161 ecr 0,sackOK,eol], length 0
0x0000: 0050 569e 1878 0007 4f1c e800 0800 4500 .PV..x..O.....E.
0x0010: 0040 7b8b 4000 3606 0b89 0a37 83a6 0a30 .@{[email protected]
0x0020: 2597 e3c7 01bb 7713 bc5e 0000 0000 b002 %.....w..^......
0x0030: ffff 9d35 0000 0204 04ec 0103 0305 0101 ...5............
0x0040: 080a 3fe5 8411 0000 0000 0402 0000 ..?...........